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An arithmetic sequence is a sequence in which each term after

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Carcass
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An arithmetic sequence is a sequence in which each term after [#permalink] New post   01 Aug 2021, 21:18
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\(v, w, x, y, z\)

An arithmetic sequence is a sequence in which each term after the first is equal to the sum of the preceding term and a constant. If the list of numbers shown above is an arithmetic sequence, which of the following must also be an arithmetic sequence?

I. \(2v, 2w, 2x, 2y, 2z\)
II. \(v + 2, w + 2, x + 2, y + 2, z + 2\)
III. \(\sqrt{v},\sqrt{w},\sqrt{x},\sqrt{y},\sqrt{z}\)


(A) I only
(B) II only
(C) III only
(D) I and II
(E) II and III
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D
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An arithmetic sequence is a sequence in which each term after [#permalink] New post   03 Aug 2021, 09:17
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Carcass wrote:
\(v, w, x, y, z\)

An arithmetic sequence is a sequence in which each term after the first is equal to the sum of the preceding term and a constant. If the list of numbers shown above is an arithmetic sequence, which of the following must also be an arithmetic sequence?

I. \(2v, 2w, 2x, 2y, 2z\)
II. \(v + 2, w + 2, x + 2, y + 2, z + 2\)
III. \(\sqrt{v},\sqrt{w},\sqrt{x},\sqrt{y},\sqrt{z}\)


(A) I only
(B) II only
(C) III only
(D) I and II
(E) II and III


Let the sequence be 1, 2, 3, 4, 5

I. 2, 4, 6, 8, 10
A.P with common difference of 2

II. 3, 4, 5, 6, 7
Again an A.P with common difference

III. 1, 1.41, 1.73, 2, 2.23
Not an A.P

Hence, option D
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Re: An arithmetic sequence is a sequence in which each term after [#permalink] New post   09 Aug 2021, 17:27
KarunMendiratta sir, I am lil bit confuse with wording of the question. Is v,w,x,y,z already on AP?
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Re: An arithmetic sequence is a sequence in which each term after [#permalink] New post   09 Aug 2021, 17:51
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COolguy101 wrote:
KarunMendiratta sir, I am lil bit confuse with wording of the question. Is v,w,x,y,z already on AP?


Hi There!

Though I am not KarunMendiratta, let me try to help you with this.

An arithmetic sequence is a sequence in which each term after the first is equal to the sum of the preceding term and a constant. If the list of numbers shown above is an arithmetic sequence, (v, w, x, y, z) which of the following must also be an arithmetic sequence?

Refer the above highlighted part which says explicitly that the above number are in arithematic sequence.

Hope this helps!

Regards
S
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COolguy101
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Re: An arithmetic sequence is a sequence in which each term after [#permalink] New post   09 Aug 2021, 19:11
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Ks1859 wrote:
COolguy101 wrote:
KarunMendiratta sir, I am lil bit confuse with wording of the question. Is v,w,x,y,z already on AP?


Hi There!

Though I am not KarunMendiratta, let me try to help you with this.

An arithmetic sequence is a sequence in which each term after the first is equal to the sum of the preceding term and a constant. If the list of numbers shown above is an arithmetic sequence, (v, w, x, y, z) which of the following must also be an arithmetic sequence?

Refer the above highlighted part which says explicitly that the above number are in arithematic sequence.

Hope this helps!

Regards
S


Thanks, i did not read the whole question , haha , I got it ;)
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gmatclubot
Re: An arithmetic sequence is a sequence in which each term after [#permalink]
09 Aug 2021, 19:11
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