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In a certain sequence, each term is generated by multiplying the previ

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In a certain sequence, each term is generated by multiplying the previ [#permalink] New post   28 Apr 2022, 01:00
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In a certain sequence, each term is generated by multiplying the previous term by 3, starting with 4. If the sum of the first k terms of the sequence is equal to 2 less than half the value of the (k + 1) term, and if the sum of the first k terms is 160, what is the value of k?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 7


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Re: In a certain sequence, each term is generated by multiplying the previ [#permalink] New post   28 Apr 2022, 20:04
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First term \(= 4\)

Each term is generated by multiplying the previous term by 3.

Series \(= 4, 12, 36, 108, 324, ...\)

The sum of the first \(k\) terms is \(160\) and from the above series we know that \(k = 4\)

Answer B
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Re: In a certain sequence, each term is generated by multiplying the previ [#permalink] New post   28 Aug 2024, 08:36
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In a certain sequence, each term is generated by multiplying the previ [#permalink]
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