Suppose that a sequence is defined as follows. a1=-5, a,=4a,-1 + 10 for n>2 %3D un List the first four terms of the sequence.

Q: Find the 12th term of the geometric sequence 1, –4, 16, ...

A: Given  Geometric sequence   1,-4,16..... To do find the 12th term of the given sequence.

Q: Determine the first 3 terms of the given sequence. = An-1 · 3; Ao = 4 An %3D

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Q: Suppose that a sequence is defined as follows. a1=-2, a,=-3a,-+7 for n>2 | List the first four terms…

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Q: Sequence A term value number 1 4 1 1 1 2 4 4 23

A: Topic :- Sequence and series

Q: Find the infinite sum of the geometric sequence with a = 6, r 2 if it exists.

A: Here,  a=6, r=2/6

Q: Find the first six terms of the following sequence. an = -2 – 7(-1)", for n > 1. %3D

A: To solve this problem we need to have an understanding about the powers of -1.

Q: Find a, and an for the arithmetic sequence. as = - 2, ag = 10 a4 = an %3D

A: nth term of AP is given by, an= a+(n-1)d

Q: In a(n) _____  sequence, the ratio of successive termsis a constant.

A: A sequence in which ratio of successive terms is a constant is called a geometric sequence. Consider…

Q: Find the infinite sum of the geometric sequence with a = 4, r = Soo = > Next Question if it exists.

A: Topic-geometric Progression

Q: For an arithmetic sequence, a25 32. If the common difference is 1, find: a1 = the sum of the first…

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

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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: For the given geometric sequence. Find the sum of the first 6 terms of 3, -6, 12, ….

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Q: Solve for x & y if the given sequence is arithmetic Зх + 6у, 4у, 7х + 2, 2х — 3у

A: Explanation of the answer is as follows

Q: If the general term of an arithmetic sequence is :- 1 2n. T(n) = %3D then the

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Q: For an arithmetic sequence, a4 = 60. If the common difference is 7, find: aj = the sum of the first…

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Q: Find the third ,fourth and fifthterms of the sequence defined by a1=2,a2=3 and an=(-1)nan-1+an-2

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Q: Find the first four terms of the sequence given by the following. an=3 (4)^n-1 n = 1, 2. 3...

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Q: Find the infinite sum of the geometric sequence with a=4,r=28a=4,r=28 if it exists. S∞=

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Q: Show that the given sequence is arithmetic, and find the common difference.-6, -2, 2, . . . , 4n -…

A: An arithmetic progression is a sequence of numbers that has a first term and every succeeding term…

Q: Given that a is an arithmetic sequence, a1=6 and a10=60, what is a21?

A: Given arithmetic sequence in which we have a1=6 and a10=60. To find: a21 Solution: In arithmetic…

Q: determine whether the sequence is arithmetic. If so, identify the common difference 11, 10.2, 9.4,…

A: For a sequence to be an arithmetic progression it must follow the common difference procedure as.

Q: Find the infinite sum of the geometric sequence with a = = 6, r = if it exists. %3D 2 00

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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: An arithmetic sequence whose first term is 4 and base is 3, so the sec ond and fifth terms are equal…

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Q: Suppose that a sequence is defined as follows. a1=-2, for n>2 an= 3a,-1+2 List the first four terms…

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

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Q: Find the infinite sum of the geometric sequence with a = 5, r = 4 if it exists. %3D 8

A: Given, a=5 r=4/7 S∞=?

Q: For an arithmetic sequence, a17 = 2. If the common difference is 5, find: aj = the sum of the first…

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Q: Suppose that a sequence is defined as follows. a1=-5, a,=4a, +10 for n>2 List the first four terms…

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Q: An arithmetic sequence with a5 = 12 and a12 = 40 can be written in the form an = dn + ao %3D where d…

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Q: 2, 10, 50, 250, .

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Q: Determine the value for x which makes the following sequence arithmetic. 2x-1, x+12, 3x-2

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Q: Find the 14 term of the following geometric sequence. 4, 8, 16, 32, ... O

A: The geometric sequence is given as: 4, 8, 16, 32, …. We need to calculate the 14th term of the…

Q: Write the first six terms of the sequence defined by a1 = −2, a2 = 3, an= −2 + an−1for n ≥ 3.

A: It is given that, first term of the sequence is (a1) = -2, second term (a2) = 3 and the sequence is

Q: For sequence A, describe a way to produce each new term from the previous term. Sequence A term…

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Q: What are the first 5 terms of the sequence represented by a=2n-3a n "n-1, where a₁ = 4₂

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Q: Suppose that a sequence is defined as follows. a1=-5, a,-4a, +10 for n>2 List the first four terms…

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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: Write the first five terms of the sequence defined by the explicit formu 2(n-1)! n(n + 5) an

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Q: Write the terms of the given arithmetic sequence and then graph the sequence. 8. f(n) =7 – 7--n for…

A: Given arithmetic sequence are 8.    f(n)=7-12n   for  n≥0 9.    f(n)=3+2(n-1) for 1≤n≤5

Q: Find the specified term of the arithmetic sequence that has the two given terms.a11; a1 = 2 + √2,…

A: a1=2+2a2=3

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: Suppose that a sequence is defined as follows. a1 =-4, an= 3a,-1+7 n2 2 for List the first four…

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Q: If the sequence 1, 0.3, 0.09, 0.027 is a geometric sequence, find the sum of the first five terms.

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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:

Q: Write an explicit formula for the geometric sequence  4.  – 4/3, 4/9, -4/27, …

A: Calculation are as follows

Q: For the geometric sequence (6, 18, 54, 162, , the term a13 : 312 O 3.35 O 6-314 O 3.37 6- 312

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Q: Let be the arithmetic sequence defined by the formula a = 11 + (n-1) × 6 Apply the concepts of the…

A: Given tn= 11 + (n-1) × 6 Compare with tn= a+ (n-1) d⇒a=11,d=6

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…