The first five terms of the sequence tn = 1(1/3)n-1 are: If necessary, express terms as improper fractions in simplest terms.

Q: What is the closed form for the infinite geometric sequence beginning  4,2,1,1/2 where the first…

A: Given :The infinite geometric sequence : 4, 2, 1, 12, ..

Q: Determine whether sequence having the given nth term is monotonic           an = 3 + (−1)n

A: an = 3 + (−1)n We need to determine whether the sequence having the nth term is monotonic or not.

Q: The first 2 terms of the Fb sequence are: 1, and 1. Find the 14th and 16th terms of the Fb sequence.

A: The first 2 terms of the Fb sequence are: 1, and 1. So we can write the rule: The Rule is xn = xn−1…

Q: Find two different explicit formulas for the sequence {1, -2, 3, -4, -5, ⋅ ⋅ ⋅}.

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Q: What is the 5th term of the sequence defined by the formula Tn=2n2−5n+1.

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Q: 1 4. (2n)" 5. 3"-1 n(n+1)(n+2) 6.

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Q: The sum of the first 10 terms is 2557.5. Find the 10th term of this sequence.

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Q: What is the generating function for the sequence {ck},where ck represents the number of ways to make…

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Q: List the first 10 terms of the sequence whose nth term is 3 raise to n − 2 raise to n.

A: Given  Sn=3n-2n

Q: The first three terms of a sequence are given. Round to the nearest thousandt. necessary). 7, 10,…

A: Given that series. And this series is in A. P. So use formula of nth term of A. P.   Find its 33rd…

Q: The nth term of a sequence is given. Calculate the first five partial sums.

A: A partial sum of first n terms can be found by the sum of the previous terms. Put the values of n…

Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 402,…

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Q: The general term of the sequence 1, 2' 4'8' - , starting by n=0 is +00 n=0 +00 (ii n=0 (iii)None of…

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

Q: Find the partial sum S, of the geometric sequence that satisfies the given conditions. az = 36, ag =…

A: Let we have a geometric series with first term a and common ratio r then the formula for the nth…

Q: Find the 8th term of the sequence -5,- 27 2187 6561 2187 D cannot be determined 5n

A: Given: Sequence: -5, -53, -59, -527, ... To Find: The 8th term of the given sequence

Q: The sum of the first 20 terms of the sequence 0.7, 0.77, 0.777, ... is

A: The given sequence is 0.7,0.77,0.777,...... The sum geometric sequence with common ratio r<1 ,of…

Q: What is the 8th term of the sequence whose ?th term is defined as ?? = (−1)^n(3n-2)

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Q: Find the first four terms and the seventh term of the sequence that has the given nth term.

A: To find first four terms and seventh term of sequence .

Q: What are the first 5 terms of the sequence a_ =2n – a 'n - 1, where “, =5,

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Q: find a formula for the nth term of the sequence. √5 - √4, √6 - √5, √7 - √6, √8 - √7, . . .

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Q: The sum of the first n terms of a sequence is (17n^2 )– 11n. Determine the 20th term.

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Q: Find the sum of the finite geometric sequence whose first term is 1.2, whose ratio is 0.5, and which…

A: Topic:- sum of GP

Q: Use the common ratio to calculate the next 3 terms for the sequence: 2,4,8,16

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Q: Find the nth term of a sequence whose first several terms are given. 11 17 23 29 4 9 16' 25' an = II…

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Q: Find the first 10 terms of the sequence an Зп + 2. its 9th term is its 10th term is

A: Given that

Q: It is a sequence where every term after the first is obtained by multiplying a non-zero constant. O…

A: To tell which is the sequence where every term after the first is obtained by multiplying a non-zero…

Q: Find n such that the geometric sequence becomes less than 1: {400, 240, 144, 86.4, ...} n3D

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Q: aj = -1 and an V(- 2an-1)² + 1 for n > 2

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Q: Find ag from a geometric sequence where the first term is 63 and r is 0.4. Round to 4 decimal…

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Q: What will be the sum of arithemetic sequence with first term a1=1 and second term a2=24

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Q: Compute the first five terms of the sequence to verify the formula Tn=2n2-5n+1 For what value of n…

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Q: This is sequence and the is equal to

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Q: What is the sum of the k terms of the series 5+ 10 +20+40+ ?

A: Given,          The sum of the series 5+10+20+40+.....We know that,          The sum of the series…

Q: Find the first four terms of the sequence defined by а, — 3 %3D а, 3 За, —1 + 2, for all n > 1

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Q: What are the first 5 terms of the sequence represented by а %3D 2n - За 'n – 1, where ", =4,

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Q: Supposed vn =17-n2  is the explicit specification for a sequence. How many values of n (positive)…

A: Given: Vn=17-n2

Q: Write the first four terms of sequence whose nth term is given by the formula an = n - 4 over n…

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Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 413,…

A: The sequence given is: 413, 405, 397 an=a+(n-1)d

Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 204,…

A: Here given sequence is 204, 200, 196, . . ., which is an A.P. as difference between consecutive…

Q: Find the first six terms of the recursively defined sequence Sn = 38n-1 +1 for n > 1, and s1 = 1.…

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Q: List the first five terms of the sequence. (-1)^-1 3n 21 co 32 а3 = а4 - 25 = - an - XXXXX Х Х Х

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Q: Find the first four terms and the eighth term of the sequence.

A: The given sequence is 2+-0.1n.

Q: Determine the nth term of the arithmetic sequence whose nth partial sum is 2n2

A: Given:Nth partial sum is

Q: Find the first 4 terms of the sequence with first term2 and nth term an = 2an-1 + 3.

A: Our Aim is to find the first 4 terms of the sequence with first term and nth term an=2an-1+3

Q: Determine the first five terms of the sequence whose general term is given. {an} = {(- 1)n * 1,²}

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Q: Find the first 10 terms of the sequence An 2n + 3. its 9th term is its 10th term is

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Q: What is the formula for the sequence 0, 1/pi1/2, 4/pi1/3, 9/pi1/4 starting with the term n=1?

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Q: insert four fractions between the numbers 1 and 3 so that the size numbers (including 1 and 3)…

A: In an Arithmetic Sequence, the difference between one term and the next is a constant. That value…

Q: If the nth term of a sequence is (−1) n n 2 , which terms are positive and which are negative?

A: We will plug some values for n to check how the signs change.

Q: Find the first six terms and the sixth partial sum of the sequence whose nth term is an = 2n2 - n.

A: Substitute 1 for n in the equation an=2n2-nto determine the first term. a1=2(1)2-1=2-1=1