Find k so that the terms k – 3, k + 1 and 4k 2 form a geometric sequence

Q: If (a-1) , (a+3) and (a+12) are consecutive terms in a geometric sequence find the first term and…

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Q: Use the nth term of an arithmetic sequence an = a1 + (n-1)d to answer this question. Thank you and…

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Q: Use an=a1+(n-1)d and gn=g1re-1 to find: the 19th term of the geometric sequence -2, -6, -18, -54 .…

A: Here the given series is a geometric progression. So to find any term in the series we use formula…

Q: Find the first four terms of the following recursively defined sequence. b-1+ 7k, for each integer k…

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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: Ten-foot lengths of 2 x 2 lumber are to be cut into five pieces to form children’s building blocks;…

A: The given length of the log is 10 ft. We have to cut the log into 5 blocks, such that the lengths of…

Q: (3) Consider the sequence x + 3,x + 7,4x – 2,.... (a) If the sequence is arithmetic, find x and then…

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Q: Find the first 4 terms of the recursively defined sequence. a1=4, a 2 = 5, an+1=an+ an-1

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Q: Given the sequence an defined recursively below, find a4. 3 а, %3D —За,-1 — а,-2 — 2 аn-2 — 2

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Q: Find the 7th term of the geometric sequence where a1 = -2 and r = -2.     -128     4096…

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Q: Find the 10th term of the arithmetic sequence in which a1=12 and d = 9.1.

A: It is given that, a1=12d=9.1   It is known that nth term of arithmetic sequence can be found  by…

Q: Write the first three terms of the sequence defined by a₁ = 2, 2a +3 an +2 an +1 =

A: Given,  The sequence is defined by  an+1=[(2an+3)/(an+2)]  and a1=2 . To find first three term of…

Q: Q2. Video: (https://www.youtube.com/watch?v=Kxh7yJC9Jr0) Write the first four terms of the sequence…

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Q: 口 2. Determine the common difference of the arithmetic sequence 3m-2n, 4m-n, 5m, 6m+n,…... m+n m-n…

A: Please see the below answer.

Q: a1=5 and a6=-40 then find a8 term of the geometric sequence.

A: Given that,                                                            a1=5, a6=-40 we have to find…

Q: Find m given that 2m + 3, m + 4, and m are consecutive terms of an arithmetic sequence.

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Q: 6. Find the tenth term of the sequence a, = (-1)" =(-1)"| 2n-1 2n+7

A: Using given formula of nth term to find 10th term

Q: ag for- 250 50 10

A: A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where…

Q: {(-1)"(2n + 1)}

A: To Graph: The given sequence:-1n2n+1