Find the nth term of the arithmetic sequence {a,} whose initial term a and common difference d are given. What is the seventy-first term? a, = - 3; d= 4 ..... an

Q: Write the first five terms of the geometric sequence whose first term is 5, and whose common ratio…

A: Given, the first term is 5 and common ratio is 3.

Q: Find the nth term of the arithmetic sequence with the given values. 2 %3D a = 5' 15 n=614

A: Given : a1 = 65d = 215n = 614

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

Q: Find the sixth term of the geometric sequence withfirst term 10 and common ratio 3.

A: We have to find 6th term of the geometric sequence where first term is 10 and common ratio is 3. We…

Q: Find the number of terms in the given finite arithmetic sequence 12,8,4,0,...-188

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Q: Find the 11th term of the following geometric sequence. 2,8, 32, 128, ...

A: This question can be solved using the formula of general term of geometric sequence.

Q: Find the infinite sum of the geometric sequence with a1 = 3, r = if it exists. 8

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Q: The second term of a geometric sequence is 10, and the fifth term is 1250/27 . Find the nth term.

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Q: For the geometric sequence, 1 169, –13, 1, 13 - What is the common ratio? What is the fifth term?

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Q: Find the tenth term of the geometric sequence withfirst term 48 and common ratio - 1/2.

A: The give sequence is geometric sequence. first term is 48 and common ratio is -12. General term of…

Q: Find the first term of the geometric sequence from the given information. Express the term as an…

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Q: Find the number of terms in the arithmetic sequence with the given conditions.

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Q: Find the 57th term of the following arithmetic sequence 13,18,23,28

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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: 2a. Find a formula for the nth term of the arithmetic sequence below. 1,_,4, , 7, ...

A: Solve by formula

Q: Find a formula for the general term an of the geometric sequence (starting with a1):

A: From the given sequence {-6, 18, -54, 162,...} First term of sequence is a1= -6 .

Q: Find the indicated term for the given arithmetic sequence. The 70th term of - 1, - 8, - 15,... a70 =

A: We have to find 70th term of given sequence.

Q: Find the 70 term of the following arithmetic sequence. 5, 13, 21, 29,...

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Q: find the 14th term of the following geometric sequence 5, 10, 20, 40, ...

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Q: What is the explicit formula for a geometric sequence?

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Q: Find the 57 term of the following arithmetic sequence. 13, 20, 27, 34, ...

A: Given arithmetic sequence 13, 20, 27, 34, ......... We have to find 57th term.

Q: Find the Third,fourth and fifth term of the sequence defined by a1=2,a2=3, and an=(-1)an-1+an-2

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Q: Given an arithmetic sequence whose sixth term is 28 and eleventh term is 43, find the sum of the…

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Q: How do I do that?

A: Given that an denotes the nth term of the sequence {10, –2, 10, –2, 10, –2, ….}.Note that the above…

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…

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.1, -√3, 3, -3√3,...

A: The given sequence is 1,  -3,  3,   -33,  ⋯⋯. Common ratio is r=-31=-3 and first term is a=1.

Q: 15. Find the 5th term of the geometric sequence whose common ration is and whose first term is 7.

A: Given first term is 7 and common ration is 1/2 Here a=7,r=1/2

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 1, V3, 3,…

A: Given : 1,3,3,33,.........

Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = 3n + 4

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Q: The middle term of an arithmetic sequence equals 17, the last term = 32, and the fourth term = 11.…

A: Given middle term = 17 Last term = 32 Fourth term = 11 T4 = a+3d = 11 Middle term = T6 = a+5d = 17…

Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.3, 2.7, 2.4,…

A: Given information: The arithmetic sequence is 3, 2.7, 2.4, 2.1,.... Concept used: The nth term of…

Q: Write the first five terms of the geometric sequence whose first term is 2, and whose common ratio…

A: Given problem:- Write the first five terms of the geometric sequence whose first term is 2, and…

Q: Find the indicated term a12 of the arithmetic sequence with first term, a1=-8, and common…

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Q: find the first five terms of the geometric sequence.

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Q: Find a formula for the nth term of the geometric sequence 1600, -400, 100, -25......

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Q: The tenth term of an arithmetic sequence is 23, and the second term is. Find the first term. X

A: Let's find first term of arithmetic sequence.  Tenth term = 73/2 Second term = 9/2

Q: Find the 13th term of the following geometric sequence. 4,8,16,32....

A: Here,

Q: Find the nth term of the arithmetic sequence {a,} whose initial term a and common difference d are…

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Q: Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE. 6, 2,…

A: Explanation of the answer is as follows

Q: both questions

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Q: Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE. 2, ½,…

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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: What will be the nth term of the geometric sequence with first term a1=4, a2=8 and n = 4

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Q: State the formula for the general term of an arithmetic sequence with an initial value of 1/3 and a…

A: Given a=1/3 d=2

Q: Find the explicit formula for the general nth term of the arithmetic sequence described below.…

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Q: Find the 10th term of the geometric sequence in which a 1 =1 and r = 2.5

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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: The fourth term of an arithmetic sequence is 11, and the sixth term is 17. Find the second term.

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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 6th term of a geometric sequence with a 1 = −3 and r= 2.

A: Find the 6th term of a geometric sequence with: