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Let H be a sequence, h1 , h2 , h3…hn , such that each term after the

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V
Joined: 02 Sep 2009
Posts: 58427
Let H be a sequence, h1 , h2 , h3…hn , such that each term after the  [#permalink]

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New post 20 Feb 2019, 00:32
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

70% (02:10) correct 30% (02:45) wrong based on 30 sessions

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G
Joined: 12 Apr 2011
Posts: 149
Location: United Arab Emirates
Concentration: Strategy, Marketing
Schools: CBS '21, Yale '21, INSEAD
GMAT 1: 670 Q50 V31
GMAT 2: 720 Q50 V37
WE: Marketing (Telecommunications)
Re: Let H be a sequence, h1 , h2 , h3…hn , such that each term after the  [#permalink]

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New post 20 Feb 2019, 03:04
Bunuel wrote:
Let H be a sequence, h1, h2, h3…hn, such that each term after the first is two less than one-third of the previous term. If the fourth term in the sequence is 0, which of the following is the sum of the first and fifth terms of the sequence?

A.−2
B. 76/3
C. 26
D. 76
E. 78


Hence from the question stem:

Xn= X(n-1)/3 - 2
=> X(n-1) = (2 + Xn)*3

So if X4=0
then X5= (0/3)-2 = -2

also
=> X3 = (2 + 0)*3 = 6
=> X2 = (6 + 2)*3 = 24
=> X1 = (2 + 24)*3 = 78

X1 + X5 = 78 + (-2) = 76

Hence D is the correct answer.
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Re: Let H be a sequence, h1 , h2 , h3…hn , such that each term after the  [#permalink]

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New post 21 Feb 2019, 07:52
Bunuel wrote:
Let H be a sequence, h1, h2, h3…hn, such that each term after the first is two less than one-third of the previous term. If the fourth term in the sequence is 0, which of the following is the sum of the first and fifth terms of the sequence?

A.−2
B. 76/3
C. 26
D. 76
E. 78


h1=x
h2=(x/3)-2
h3=h2/3-2
h4=0
h4=h3/3-2
h3= 6
h2=24
h1=78
and h5=-2
so h1+h5 = 76
IMO D
GMAT Club Bot
Re: Let H be a sequence, h1 , h2 , h3…hn , such that each term after the   [#permalink] 21 Feb 2019, 07:52
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Let H be a sequence, h1 , h2 , h3…hn , such that each term after the

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