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A: Given, the first term is 5 and common ratio is 3.
Q: Find the nth term of the geometric sequence whose initial term is a1=6.5 and common ratio is 8
A: The geometric sequence whose initial term is a1=6.5 and common ratio is 8
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A:
Q: Find the seventh term of the geometric sequence whose first term is 5 and whose common ratio is -3.
A: The give sequence is geometric sequence. First term is 5 and common ratio is -3.
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A:
Q: Find the nth term of the geometric sequence whose initial term is a1 = 9 and common ratio is 4. An…
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Q: Find for the 20th term of an arithmetic sequence 3, 6, 9, 12,
A: Let's find.
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A: First find the common ratio r of the geometric sequence than with the help of nth term express find…
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A: The given geometric sequence is -32,3,-6,12,.. here the first term of the sequence is -32. find…
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A: Find the common difference, d:
Q: Find the fifth term of the geometric sequence withfirst term 64 and eighth term1/2.
A: First term=a1=64Eighth term=a8=12 Now consider, a8=12⇒a1·r7=12…
Q: Find the 38th term of a sequence where the 15th term is 0 and the common difference is 1.
A: see below the answer here we have use the sequence as arithmetic sequence
Q: Find the 12th term of the geometric sequence 5, 20, 80, ...
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Q: Find the seventh term of the geometric sequence whose second and third terms are 2 and -√2.
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Q: Find the specified term of the geometric sequence. 6th term: 5, 15, 45, . . .
A: sequence is 5,15,45,......... first term, a1 = 5 r = a2/a1 = 15/5 = 3
Q: Find the common ratio of the infinite geometric sequence whose sum is -11/13 and the first terms…
A: The detailed solution is given below Thank you
Q: Find the nth term of the arithmetic sequence with the first term −2, common difference 3, and n =…
A: Given: The first term =-2 Common difference =3 n=10 To determine: nth term of the sequence.
Q: Find the sixth term of the geometric sequence whose first two terms are 4 and 6.
A: There are many names if the set of numbers follows a specific pattern to write the terms. They are…
Q: Calculate the 10th term for this arithmetic sequence: 4, 1, -2, -5, ..
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Q: Find for the 15th term of an arithmetic sequence 3, 6, 9, 12,
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Q: Find the 5th term of the arithmetic sequence whose 3rd term is 35 and whose 10th term is 77.
A: Let the first term is = a and common difference = d So, n th term of arithmetic sequence is given by…
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A: We know that, sum of n terms of an geometric series with first term a and common ration r is given…
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Q: Find the 7th term of the geometric sequence where a1 = -2 and r = -2.
A: To Find the 7thterm of the geometric sequence where a1 = -2 and r = -2.
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Q: Write the first six terms of the geometric sequence with the first term, a1, and common ratio, r.
A: Geometric sequence: -A geometric sequence is a pattern in which the next term is discovered by…
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Q: If the third term of an arithmetic sequence is 4 and the seventeenth term is -66, find eighth the…
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Q: Find the infinite sum of the geometric sequence with a = = 6, r = if it exists. %3D 2 00
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Q: Find the eighth term of the geometric sequence whose first term is -4 and whose common ratio is -2.
A: Known fact: The nth term of a geometric sequence is given by an=a·rn-1 where a is first term and r…
Q: Find the 37th term of an arithmetic sequence whose second and third terms are −2 and 10.
A:
Q: Find the ninth term of the arithmetic sequence whose first term is 6 and whose common difference is…
A: Given:First term a1=6Common difference d=-5Formula:an=a1+n-1 d
Q: Find the 10th term of the geometric sequence. If your answer is a fraction, enter it like: 1/2, etc.…
A: I have given an answer in step 2.
Q: Find the 13th term of the geometric sequence 6, – 30, 150, ...
A: The first term is, a1 = 6 &, The common ratio is, r = - 5
Q: Find the nth term of the geometric sequence. -4, 20, -100,... an
A: This is geometric series . Here is given solution with steps.
Q: Find the general term of an arithmetic sequence where the fourteenth term is 35 and the eighth term…
A: The fourtheenth term is 35The eighth term is 41.To find the general term of an arithmetic sequence.
Q: Find the 10th term of a geometric sequence whose 2nd term is 7 and whose 5th term is 35. Report it…
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Q: Find the 7 term of the geometric sequence whose common ratio is and whose first term is 4. 00
A: A sequence is a function with domain being set of natural numbers and the range being the set of…
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Q: Find the 19" term of the arithmetic sequence whose common difference is d=3 and whose first term is…
A: the nth term of the arithmetic sequence is given by an=a1+n-1d here we have a1=4, d=3 an=4+n-13…
Q: find the the first terms of an arithmetic sequence that starts with -20 and has a rate of change 5
A: First term, a = -20 Common difference, d = 5
Q: Find the nth term of the geometric sequence whose initial term is a1 = 8 and common ratio is 4. An…
A: The initial term is given as a1=8 and common ratio is 4. To find : the nth term of the geometric…
Q: Find the 7th term of the geometric sequence whose common ratio is 3/2and whose first term is 4
A: The question is , to determine the 7th term of a geometric sequence whose common ratio(r) is (…
Q: Find the 6th term of a geometric sequence with a 1 = −3 and r= 2.
A: Find the 6th term of a geometric sequence with:
Q: Graph the first five terms of the arithmetic sequence that has an a1 value of 1 and a common…
A: The general form of sequence, a1, a1+d, a1+2d,.... where, a1-first term, d-common difference. we…
Q: Find the first four terms of the arithmetic sequence whose first term is -6 and whose common…
A: We have to find first four terms of the arithmetic sequence whose first term is -6 and common…
Q: Determine the sum of the first four terms of the geometric sequence where a = 3 and r= -1. The sum…
A:
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- Find a formula for the nth term of the arithmetic sequence whose common difference is 5 and whose first term is 1Find a general term for the sequence whose first five terms are shown. 5, 10, 15, 20, 25, …Find the twenty-third term of an arithmetic sequence whose seventh term is 11 and common difference is three. Then find a formula for the general term.
- Find the twenty-seventh term of a sequence where the first term is 7 and the common difference is 9.Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n • In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of n that ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 65. List the first four terms of the sequence. an=5.7n+0.275(n1)Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n • In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of n that ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 66. List the first six terms of the sequence an=n!n
- Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n• In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of nthat ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 63. List the first six terms of the sequence. an=n33.5n2+4.1n1.52.4nWhat is the procedure for determining whether a sequence is geometric?Use explicit formulas to give two examples of geometric sequences whose 7thterms are 1024.