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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
In a geometric sequence, each term is a constant multiple of
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12 Mar 2020, 04:50
12 Mar 2020, 04:50
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In a geometric sequence, each term is a constant multiple of the preceding one. If the third and fourth numbers in the series are 8 and -16, respectively, what is the first term in the sequence?
(A) -32
(B) -4
(C) 2
(D) 4
(E) 64
(A) -32
(B) -4
(C) 2
(D) 4
(E) 64
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: In a geometric sequence, each term is a constant multiple of
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12 Mar 2020, 04:59
12 Mar 2020, 04:59
GeminiHeat wrote:
In a geometric sequence, each term is a constant multiple of the preceding one. If the third and fourth numbers in the series are 8 and -16, respectively, what is the first term in the sequence?
(A) -32
(B) -4
(C) 2
(D) 4
(E) 64
(A) -32
(B) -4
(C) 2
(D) 4
(E) 64
In a geometric sequence, each term is a constant multiple of the preceding one. If the third and fourth numbers in the series are 8 and -16, respectively...
So, if k = the constant multiple, we can write: term4 = (k)(term3)
We get: -16 = (k)(8), which means k = -2
.....what is the first term in the sequence?
Now that we know the value of k, we can find other terms.
For example, we know that term3 = (-2)(term2), which means: 8 = (-2)(term2), which means term2 = -4
Likewise, since term2 = (-2)(term1), we can write: -4 = (-2)(term1), which means term1 = 2
Answer: C
Cheers,
Brent
Re: In a geometric sequence, each term is a constant multiple of
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06 Jun 2023, 00:32
06 Jun 2023, 00:32
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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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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