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

Q: Find the common difference of the arithmetic sequence –6, –13, –20, ...

A: Question is solvled.

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

A: Here,  a=6, r=2/6

Q: Express the sum 3 + 5 + 7+ ... + (2k-1) using E-notation.

A: The given sum is 3+5+7+…+2k-1. Express the sum 3+5+7+…+2k-1 using ∑ notation as follows.

Q: Find for the 20th term of an arithmetic sequence 3, 6, 9, 12,

A: Let's find.

Q: (b) Determine whether the sequence S:4,5, 3,4, 4, 6, 2, 3, 2,3,0,0,1,1,2, 2 is graphical? If so,…

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

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Q: Find t and t in the arithmetic sequence 21,24,.. 10 %3D %3D 10

A: Given arithmetic sequence is : 21 , 24 ,.... First term a=21 Common difference d=24-21=3 To find the…

Q: 5a. In an arithmetic sequence of numbers a1 = -4 and a6 = 46.  Which of the following is the value…

A: Given problems  5a. In an arithmetic sequence of numbers a1 = -4 and a6 = 46. Which of the following…

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: List the first four terms of each sequence. an bn = -8n +9: = =(5)n. C₁ = 2, Cn = 2Cn-1 +1:

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Q: Insert two arithmetic means between -31 and 23. Answer:

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

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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: 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: Write the first five terms of the sequence defined recursively. a0 = −13, a1 = 13, ak = ak −…

A: given, a0=-13,  a1=13given ak=ak-2+ak-1

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

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

Q: Find the 1st five terms of the geometric sequences where a1=3 and r=-2.

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