а, — (-1)-+ n/ +1

Q: Write an explicit formula for the nth term of a sequence Question Find an explicit formula for the…

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Q: What is a geometric sequence? Write an expression for the nth term of a geometric sequence that has…

A: Geometric Sequence: A sequence in which each term is found by multiplying the previous term by a…

Q: 18. The first term of a sequence is 3 and the common difference is 4. State the general term.

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Q: 3. The geometric sequence begins -3072, 1536, -768 (a) Find the 13th and 20th terms of this…

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence, 7, 3, -1, -5,…

A: Given arithmetic sequence is 7,3,-1,-5,...... Here, first term, a=7 Common difference,…

Q: 4- 120..} .... Determine the next term of the sequence { - 24

A: The sequence is  {12,-16,124,-1120}  +2 = (-1)2 ÷ 2! -6  =  (-1)3 ÷ 3!  24 =  (-1)4 ÷ 4!  -120 =…

Q: Geometric reries n-1 E ar k= K=0

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Q: Write a recursive formula for the sequence represented by the explicit formula. 1 an 5(4)n-1…

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Q: Writing the Terms of a Sequence:-  In the given question as follows, write the first five terms of…

A: given,       an=3n

Q: Arithmetic sequence is given by a, = 0 and a15 = 4. What is the sum of the first 15 terms of that…

A: Given,            Arithmetic sequence is given by a5=0 and a15=4.To find : What is the sum of the…

Q: 100, 10, 1, , ..

A: This question is taken from the sequence and series in which we have to find the 8th term of the…

Q: 3. Given an arithmetic sequence with first term aj and common difference d, the nth term is…

A: Given: An arithmetic sequence with the first term a1 And common difference d For, n⩾2

Q: The given pattern continues. Write down the nth term of the sequence suggested by the pattern. 7,…

A: Given the pattern of terms  7, -7, 7, -7, 7, -7, 7, -7,..... Since here only sign changing as we…

Q: The first term of an arithmetic sequence is -4. The fifth term of that arithmetic sequence is 16.…

A: Given: The first term of the arithmetic sequence is -4, i.e. a=-4.            The fifth term of the…

Q: QI. Write out the first four terms of the sequence and determine whether the sequence is converging.…

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Q: Writing the Terms of a Sequence:-  In the given question as folows, write the first five terms of…

A: Given sequence is  an=3n

Q: th . Find the n" term of the arithmetic sequence 1, 5, 9, 13, . Then find the sum of the first n…

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Find the first term and the common difference of the arithmetic sequence described. Give a recursive…

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Q: Find the indicated term of the geometric sequence. 3. 7th term of 3, 3 5 25 ... Enter the 7th term…

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Q: Write a formula for the general term of the geometric sequence. Then use the formula for a Subscript…

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Q: Find the first term and the common difference of the arithmetic sequence described. Give a recursive…

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Q: Write an explicit formula for the nth term of a sequence Question Find an explicit formula for the…

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Q: 5. The first term a, of a geometric sequence is 64 and the common ratio is Part A: Determine a,.…

A: We have to find terms of given geometric sequence.

Q: formula for the sum of the first n terms of a geometric sequence to find the sum of the first 11…

A: Given query is to the sum of the 11 terms

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: Write a recursive formula for the sequence represented by the explicit formula. 2. an =3(3) (3)n-…

A: Initial value problem....

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

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Q: rite a rule for the n​ th term of the geometric sequence. Then identify the first six terms o

A: Here we have fifth term of G.P = a5=162 The common ratio r=-3 Let first term =a

Q: Give an example of an arithmetic sequence and geometric sequence, each with at least 6 terms

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Q: Questio Find the infinite sum of the geometric sequence with a = 6, r if it exists. Question Help: D…

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Q: The sequences below are either arithmetic sequences or geometric sequences. For each sequence,…

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Q: - 5. Test your conjecture. Using your derived formula or general term, find the first four terms of…

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Q: n-1 What will be the 7th term in the sequence defined by gn = 2 · (-) ? Enter your answer as a…

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Q: Write a formula for the general term the nth term of the geometric sequence . Then use the formula…

A: Given geometric sequence, 18,6,2,23,....

Q: 8. An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to - 1. Calculate…

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Q: 2) A sequence is defined using a recursive definition as: a = 5, a, = 11, and a, = a,-1+ 2a,,-2…

A: given: A sequence is defined using a recursive definition as : we have to determine the value of .

Q: Write an expression for the nth term of (an) the sequence. (Assume that n begins with 1.) 1. 1 +…

A: Given that 1+12,  1+34,  1+78,  1+1516,  1+3132... Observe that it is same as 1+21-12,  1+22-122,…

Q: Write a recursive formula for an arithmetic sequence Question Write a recursive formula for the…

A: To write the recursive formula for the given arithmetic sequence.

Q: 4. An arithmetic sequence has the first term of 10 and a common difference of-2. Find the sum of the…

A: Topic = Arithmetic sequence

Q: The recursive formula for a geometric sequence is an = with an initial value of a = . What is an…

A: Given, a1=17Therefore,a2=17(7)=1

Q: 1. Find the sum of the first 13 terms of the geometric sequence shown below. 2, 8, 32, 128,…

A: 1.  The geometric sequence,  2, 8, 32, 128,......2.first term, a=2common ratio, r=-1

Q: Write a formula for the general term (the nth term) of the geometric sequence . Then use the formula…

A: 12, 6, 3, 32, ...... It is a geometric sequence with, First term=a=12Common ratio=r=612=12 Now the…

Q: 7th term is 1; 18th term is 23 What is the first term of the sequence?

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Q: 3. An arithmetic sequence is given by k,,, 0. 0,.... (a) Find the sixth term. (b) If the 20th term…

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Q: Write a formula for the general term of the geometric sequence. Then use the formula for a, to find…

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Q: not? This is a geometric sequence since there is a common ratio between each term. In this case,…

A: As per our guidelines I am solving only first problem please repost other question  b) the given…

Q: a. Write the first five terms of the sequence defined by an = 2n + 3. b. Evaluate (2i + 3)- c. Use…

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Q: 12. The first term of an arithmetic sequence is 11. It's 32nd term is 600. Determine the sum of the…

A: We have to find sum of the sequence

Q: An arithmetic sequence is given below. 15, 12, 9, 6, ... th Write an explicit formula for the n term…

A: Given arithmetic sequence 15, 12, 9, 6, ......... We have to find nth term, an.

Q: Write a formula for the general term (the nth term) of the arithmetic sequence, 1, 5, 9, 13,…

A: The given series is 1, 5, 9, 13, ...... The first term of the series is a=1. The common difference…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.