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# In a sequence of 19 numbers, each term except for the first one is

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Math Expert
Joined: 02 Sep 2009
Posts: 50623
In a sequence of 19 numbers, each term except for the first one is  [#permalink]

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18 Sep 2016, 09:07
00:00

Difficulty:

25% (medium)

Question Stats:

74% (01:14) correct 26% (01:44) wrong based on 100 sessions

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In a sequence of 19 numbers, each term except for the first one is greater than the previous term by 9. If the last term in the sequence is 200, what is the first term in the sequence?

A. 9
B. 10
C. 20
D. 29
E. 38

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Joined: 07 Dec 2014
Posts: 1114
Re: In a sequence of 19 numbers, each term except for the first one is  [#permalink]

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18 Sep 2016, 15:29
In a sequence of 19 numbers, each term except for the first one is greater than the previous term by 9. If the last term in the sequence is 200, what is the first term in the sequence?

A. 9
B. 10
C. 20
D. 29
E. 38

200-9(19-1)=38
E.
Manager
Joined: 05 Jun 2015
Posts: 83
Location: United States
WE: Engineering (Transportation)
Re: In a sequence of 19 numbers, each term except for the first one is  [#permalink]

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18 Sep 2016, 19:03
1
1
The sequence is a simple Arithmetic Progression.
$$T_n = A + (n-1)d$$'
A is the first term.
$$200 = A + (19-1) * 9$$
A = 200 - 162
A = 38
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Posts: 8803
Re: In a sequence of 19 numbers, each term except for the first one is  [#permalink]

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12 Sep 2018, 03:23
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Re: In a sequence of 19 numbers, each term except for the first one is &nbs [#permalink] 12 Sep 2018, 03:23
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