Use the given nth term formula to compute the first tên terms of the sequence. n(2n+1) 6. аn 3 2

Q: consider the sequence (a^n)n≥0 which starts 3,14,25,36,.... a. what is the next term in the…

A: Let an be the nth term of the sequence. First write the general term, an for the sequence and use…

Q: th (a) Write a nonrecursive formula for the n term of the arithmetic sequence a based on the given…

A: We need to write a non-recursive formula.

Q: c) Write the explicit formula for the nth term of the sequence below. 5 3 3, 2, 2' 5' 3 7 4 ....

A: Explicit formula for sequence problem.....

Q: d.Write only the first 4 terms in the sequence defined by the formula given below: k az = 2 for all…

A: First four value is  0 ,0 ,2 ,2

Q: Use the explicit formula to find the 50th term of the sequence An -n² - 3n

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Q: Find the first four terms of the sequence given by the following. 4n an n = 1, 2, 3, ... 3n+2 0.000…

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Q: 30. Find the sum S20 of the first 20 terms of the arithmetic sequence given by an = 5 – 2n.

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Q: Write an explicit formula for an, the n' th term of the sequence 4, –20, 100, ....

A: Here we have to write an explicit formula for an  In the given sequence    a1 = 4 , a2 = -20 , a3 =…

Q: Given the sequence defined by b n= (−1) n-1n, which terms are positive and which are negative?

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Q: th Write an explicit formula for an, the n' term of the sequence 4, –20, 100, ....

A: We have to find nth term

Q: 26. Write the third, fourth and-fifth terms of the sequence whose nth term is given by the following…

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Q: Find the formula (nth term) of the sequence 7, 10, 15, 22, 31, .. . O an = (-2)" O an = (n-5)/4 an =…

A: As per company's guidelines, we are supposed to solve first question for you, kindly repost other…

Q: The third term in the sequence with a1 3 and an = an-1 + 2n where n >1 is

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Q: Find a formula for the nth term of the sequence in terms of n. 1 3 32 8' 10' 12 14' 16 33 34 ... an…

A: Given sequence 18,310,3212,3314,3416,...We find a formula for the nth term of the sequence .

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

A: The objective is to find the 7th term of the sequence.

Q: calculate the first four terms of the sequence, startingwith n = 1.bn = (2n − 1)!/n!

A: The given sequence is, bn=2n-1!n! The objective is to calculate the first four terms of the…

Q: Find a formula for the nth term of the sequence in terms of n. 1 2 22 23 24 9' 12' 15 18' 21 ** ...…

A: Try to observe the pattern in numerator and denominator separately.

Q: find the indicated term of the sequence. an=(6n/3n2-5)   a19=

A: Given,an = 6n3n2-5a19 = ?for finding a19 substitute n = 19 and find the value

Q: A formula for the sequence 0, 3, 8, 15, 24, is Select one: О a.(п - 1) (2n -1) O b.n(2n + 1) О с (п…

A: Given sequence is 0,3,8,15,24..... Now we can write, 0=1-13=4-18=9-115=16-124=25-1

Q: Q1. Write the first five term of the given sequences. 3(-1)" а, n!

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The first 4 terms in the sequence defined by the formula a; (-1)*+1 5 for i >1 a2= az = a4 =

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Q: I. Find the first three terms of the sequence whose nth term is given by the formula. Show the…

A: First three terms of the sequence

Q: The nth term of the following sequence 1,4,7,10,.is A. n В. Зп — 2

A: Solution of the problem as follows

Q: What is the sum of the first 10 powers of 2? Assume the first term of the sequence is a1=2 A.s20=…

A: Given: A sequence of 10 terms with powers of 2, starts with first term a1=2. The objective is to…

Q: 3. Find a formula for nth term of the sequence 1, 1 1 4' 16' 25

A: Simplification

Q: 12. Find the first 5 terms of the sequence: 2n a, =(-1)" n +1 a) b) a, = 4a-5 and aj =1 | n-1

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Q: Find the 5th term of the sequence with formula an+2=2an+1 + an where a1=1 AND A2=1

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Q: 12. Find the first 5 terms of the sequence: 2n a, = (-1)" а) 2 n² +1 b) a, = 4a - 5 n-1 and ª1 =1

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Q: III Use the given nth term formula to compute the first six terms of the sequence. n2-1 1. an = 2-n…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Ind the first four terms of the sequence given by the following. q=(-1)^2n², n = 1, 2, 3, ...

A: Topic:- sequence and series Given Sequence is     an=-1n.2n2.

Q: Find the first five terms of the following sequence, starting with n = = 1. a, = (-1)"+'(6n² – 1)…

A: Answer and explanation is given below..

Q: c) Write the explicit formula for the nth term of the sequence below. d) Prove that mathematical…

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Q: Write an explicit formula for am, the nth term of the sequence 35, 38, 41, ...

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Q: Find the indicated term of the sequence: an = n(3n + 1); a15

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Q: Write an explicit formula for an, the nth term of the sequence 5, 15, 25, ....

A: *to find:- nth term, a_n.

Q: Given the arithmetic sequence of 4, 2, 0, -2, . .fund an explicit rule for the nth term. O an = an 1…

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Q: 1. Find an explicit formula for the general term of the given sequence: 5, 10, 20, 40, 80,…..

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

A: We have to find nth  term

Q: Find the first six terms of the piecewise sequence: S(- 2)" – 3 An | 3n -1 - 4 if n is even %3D if n…

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Q: 2n Write down the first five terms of the sequence an %3D n+7

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Q: find the sum of the first 60 terms of the arithmetic sequence given by: -5,-2,1,4,7   Formulas:…

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Q: - The nth term of an arithmetic sequence can be calculated with the formula a, = aj + (n – 1)d.…

A: NOTE: Refresh your page if you can't see any equations. . the arithmetic sequence is given by

Q: Use the formula for S, to find the sum of the first five terms of the geometric sequence. 5 5 15,…

A: Consider the sequence, 15,  -5,  53,  -59, ......................... The sum of the first “n” term…

Q: 3. Find a formula for the n-th term of the sequence: 1 8. 27 64 125 25'125'625'3125'15625 ...

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Q: Find a formula for the nth term of the sequence. - 1, 4, - 9, 16, -25, .. Determine the sequence's…

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Q: 42. Find the second, fourth, and eleventh terms of the sequence described by: A(n) = 9 + (n - 1) (3)

A: The given sequence is, An=9+n-13 The second term is n=2 A2=9+2-13=9+3=12

Q: 2. Use the given nth-term formula to compute the first five terms of the sequence. n (2n+1) а. а 3 2…

A: a.) an=n(2n+1)2 b.) an=5n2-3n To find a1, a2, a3, a4, a5

Q: write the first S terms of the sequence.assume that begins with 1. a=-5n +6

A: Substitute value of n for  sequence for finding first five terms.

Q: Find the first six terms of the piecewise sequence: S( - 2)" (– 2)" – 3 if n is even an = | 3-1 – 4…

A: n=1 , 3 , 5 are odd, so we use the second piece

Q: Find a formula for the nth term of the sequence. - 2, 5, 24, 61, 122, . Determine the sequence's…

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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.