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The first term of a sequence is 2. All subsequent terms are found by a
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06 May 2021, 05:34
06 May 2021, 05:34
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The first term of a sequence is 2. All subsequent terms are found by adding 3 to the immediately preceding term and then multiplying the sum by 2. Which of the following describes the terms of the sequence?
(A) Each term is odd
(B) Each term is even
(C) The terms are: even, odd, even, odd, etc.
(D) The terms are: even, odd, odd, odd, etc.
(E) The terms are: even, odd, odd, even, odd, odd, etc.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) Each term is odd
(B) Each term is even
(C) The terms are: even, odd, even, odd, etc.
(D) The terms are: even, odd, odd, odd, etc.
(E) The terms are: even, odd, odd, even, odd, odd, etc.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: The first term of a sequence is 2. All subsequent terms are found by a
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06 May 2021, 05:38
06 May 2021, 05:38
Carcass wrote:
The first term of a sequence is 2. All subsequent terms are found by adding 3 to the immediately preceding term and then multiplying the sum by 2. Which of the following describes the terms of the sequence?
(A) Each term is odd
(B) Each term is even
(C) The terms are: even, odd, even, odd, etc.
(D) The terms are: even, odd, odd, odd, etc.
(E) The terms are: even, odd, odd, even, odd, odd, etc.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) Each term is odd
(B) Each term is even
(C) The terms are: even, odd, even, odd, etc.
(D) The terms are: even, odd, odd, odd, etc.
(E) The terms are: even, odd, odd, even, odd, odd, etc.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Let's examine a few terms in the sequence
The first term of a sequence is 2
So, term1 = 2
All subsequent terms are found by adding 3 to the immediately preceding term and then multiplying the sum by 2.
So, term2 = 2(2 + 3) = 2(5) = 10
term3 = 2(10 + 3) = 2(13) = 26
term4 = 2(26 + 3) = 2(29) = 58
.
.
.
So the first four terms are 2, 10, 26, 58, ...
Which of the following describes the terms of the sequence?
Since we always end up multiplying some sum by 2, we can be certain that every term in the sequence is even
Answer: B
Cheers,
Brent
Re: The first term of a sequence is 2. All subsequent terms are found by a
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07 May 2021, 01:52
07 May 2021, 01:52
Just the part where you are multiplying the term by 2 should be enough to tell that all terms are even.
