Find the indicated term of the sequence by finding the explicit formula for the nth term. 9. 100th term of an arithmetic sequence if a11 = 15; a15 = 39 10. 13th term of – 3,9,–27,81, ...

Q: Find the indicated term of the sequence whose nth term is given by the formula. an=(+5)(n+ 6); a15…

A: Given sequence

Q: The repeating decimal 0.555 can be represented as the sum of a geometric sequence where a is the…

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Q: The first term of an arithmetic sequence is 5. The third term of the sequence is 13. Which of the…

A: Given,First term of AP = a = 5Third term of AP= 13Let, Second term of AP = xWe can write AP as - 5,…

Q: Find the last term An, of the given geometric sequence: _____1) 1, 5, 25, 125,.....up to A7 _____2)…

A: Nth term of a GP is given by arn-1

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

A: The first term a1=8 and common ratio r=3.

Q: Find the sum to infinity of the geometric sequence given below 5. 16, 4, 1, ... 6. aj= 1000, r =…

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Q: (a) The nth term of a sequence is Un. The sequen

A: Introduction: 1: the sequence in which things are or should be linked, related, or dated Follow the…

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: Find the first term of an arithmetic sequence if the 9th term is 72 and the common difference is 5.…

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Q: 2. The first term of an arithmetic sequence is -15 and the fifth term is 13. Find a40.

A: We can find the answer as below.

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: 2. Which of the following is a finite sequence? A. 3,6, 9, 12, 15,.. B. 6,5, 4, 3, 2,1 C. 20, 22,…

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Q: When finding the nth term in an arithmetic sequence, how do I sole a sequence with fractions? For…

A: In order to find the nth term in an arithmetic sequence of fractions, one should be able to find the…

Q: Find a formula for the nth term of the sequence in terms of n. 3 32 33 34 1 10' 15' 20' 25' 30

A: We have to find the nth term of the sequence.

Q: Find a formula for the nth term of the sequence in terms of n. 3² 3³ 34 1 3 3 - 4' 6 8 " 10 " 12

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Q: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.a1 = 5, d = 0.1, n =…

A: Given:              a1 = 5, d=0.1, n=40 Formula to be used:              Sn = n22a1+(n-1)d Where,…

Q: Predict the general term, or nth term, an, of the sequence. 1 7, 2 8, 3 9, 4 10, ..

A: The given sequence is 1*7,2*8,3*9,4*10,...

Q: The first term of an arithmetic sequence is a = 7, and the common difference is d = 3. How many…

A: Given: for given arithmetic sequence, first term a=7, common differenced=3 let's sum of n terms of…

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

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Q: Determine if the sequence is geometric. If it is, find the common ratio, the term named in the…

A: First we need to check series is Geometric or not so we calculate common ratios or consecutive terms

Q: (c) The sum of the first 12 terms of a geometric sequence is 6144. If the common ratio is 2, find…

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Q: 03. What is the third term of a sequence given the explicit formula? аn 3 —5 + 2(п — 1) А. -5 В. -3…

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Q: Suppose that the 8th term of an arithmetic sequence is -1 and the 20th term is 2. Write the general…

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Q: Which of the following formulas defines an arithmetic sequence? O a) S,=18+7(n-1)(n-2) O b) s,=18+7"…

A: We know that: An explicit formula for an arithmetic sequence of nth term is denoted by, an=a1+d(n-1)…

Q: The first term of a geometric sequence is 12, and the third term is 16/3. Find the fifth term.…

A: Given that first term of the geometric sequence is 12. Third term of the third term is 16/3. We have…

Q: Find the indicated term for the given arithmetic sequence. The 60th term of - 1, – 7, – 13,. a60 =…

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Q: 1. Find the 12 th term of an arithmetic sequence with a =-11 and a30 = 105

A: we have to solve the problem

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

A: Given: a=4, r=-2 we know that nth termTn of a geometric progression is given by Tn=a.rn-1…

Q: Determine the first four terms of the arithmetic sequence represented by the explicit formula an =…

A: Given, an=7(n-1)+8Here we consider n>0

Q: 13.What is the 3rd term of the sequence defined by an = (-2n)", %3D O A. 216 о в. 276 O C.-216 O D.…

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Q: If the first 5 terms of a geometric sequence are {12, 6, 3, the formula for the nth term in the…

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Q: both questions

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Q: th For a given arithmetic sequence, the 36 term, a36, is equal to 142, and the 87 term, ag7, is…

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Q: Find a formula for the nth term of the sequence in terms of n. 1 2 22 23 24 20' 25' 30' 35' 40

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Q: For the given geometric sequence. Find the sum of the first 6 terms of -2,2,-2,2,….

A: Sum of geometric progression

Q: Find the nth term to illustrate the given arithmetic sequence. 4,9 14, 19, 24,29... 15, 0, -15, -30,…

A: 2) Given sequence is 15, 0, -15, -30, -45, ... Here a=15, d=-15 The nth term formula is,…

Q: 1. Find S15 for the arithmetic sequence {4, 10, 16, ... }

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

Q: The repeating decimal 0.555 can be represented as the sum of a geometric sequence where a is the…

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Q: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.a1 = 40, d = -3, n =…

A: Formula to find the sum of arithmetic series helps to find the required sum. Formula to find the…

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: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 1, s2/9,…

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

A: This question can be solve by airthmatic sum formula.

Q: Find the formula of the general term an of the sequence: 1 1 1 1 3 '9 27 '81

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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: If the third term of an arithmetic sequence is I and the eighth term is -14" what is the sum of the…

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Q: Suppose a geometric sequence has a1 = Give your answers to the following rounded to the nearest…

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Q: <th For a given arithmetic sequence, the 6 term, a, is equal to 26, and the 35 term, azs, is equal…

A: Let a be first term of A.P.  And, d be the common difference, then

Q: The tenth term of an arithmetic sequence is 32, and the fifth term is 16. Find a, d, and the 20th…

A: Given: The tenth term of the arithmetic sequence is 32. The fifth term of the arithmetic sequence is…