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# In a sequence of 40 numbers, each term, except for the first

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Manager
Joined: 10 Sep 2012
Posts: 138
In a sequence of 40 numbers, each term, except for the first  [#permalink]

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Updated on: 21 Nov 2012, 03:28
1
00:00

Difficulty:

15% (low)

Question Stats:

85% (01:17) correct 15% (01:49) wrong based on 136 sessions

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In a sequence of 40 numbers, each term, except for the first one, is 7 less than the previous term. If the greatest term in the sequence is 281, what is the smallest term in the sequence?

A. 2
B. -2
C. 0
D. 8
E. 6

An = A1 + (n-1)d

so

281 = A + (40-1)-7

281 = A + (39*-7)

281 = A + -273

281 = A - 273

isolate A

281 + 273 = A

but obviously the answer is not 5 hundred something. The answer is 8, and I got this answer correct because 8 was one of the choices and i saw that it was the difference between those two numbers. And the other choices had nothing related to 281 and 273.

However, why does my math not add up here?

Originally posted by anon1 on 20 Nov 2012, 18:18.
Last edited by Bunuel on 21 Nov 2012, 03:28, edited 1 time in total.
Edited the question.
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Re: In a sequence of 40 numbers, each term, except for the first  [#permalink]

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20 Nov 2012, 21:19
1
1
anon1 wrote:
In a sequence of 40 numbers, each term, except for the first one, is 7 less than the previous term. If the greatest term in the sequence is 281, what is the smallest term in the sequence?

2
-2
0
8
6

An = A1 + (n-1)d

so

281 = A + (40-1)-7

281 = A + (39*-7)

281 = A + -273

281 = A - 273

isolate A

281 + 273 = A

but obviously the answer is not 5 hundred something. The answer is 8, and I got this answer correct because 8 was one of the choices and i saw that it was the difference between those two numbers. And the other choices had nothing related to 281 and 273.

However, why does my math not add up here?

Which term is the greatest? The first or the last? It is given to you that every term is 7 less than the previous term. Hence as you go on, your terms keep becoming smaller and smaller. The first term is the greatest term.

An = 281 + (40 - 1)*(-7)
An = 281 - 273 = 8
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Manager
Joined: 10 Sep 2012
Posts: 138
Re: In a sequence of 40 numbers, each term, except for the first  [#permalink]

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20 Nov 2012, 21:49
Thanks Karishma I see the error that I made now.
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Posts: 8071
Re: In a sequence of 40 numbers, each term, except for the first  [#permalink]

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05 Oct 2017, 07:00
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Re: In a sequence of 40 numbers, each term, except for the first &nbs [#permalink] 05 Oct 2017, 07:00
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# In a sequence of 40 numbers, each term, except for the first

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