Sequence

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Sequence

by mgmt_gmat » Fri Feb 12, 2010 2:35 am
In the sequence of nonzero numbers t1, t2, t3, ..., tn, ..., tn+1 = tn / 2 for all positive integers
n. What is the value of t5?
(1) t3 = 1/4
(2) t1 - t5 = 15/16
Source: — Data Sufficiency |

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by ajith » Fri Feb 12, 2010 6:53 am
mgmt_gmat wrote:In the sequence of nonzero numbers t1, t2, t3, ..., tn, ..., tn+1 = tn / 2 for all positive integers
n. What is the value of t5?
(1) t3 = 1/4
(2) t1 - t5 = 15/16
1.) t3 = 1/4

t4 = t3/2 = 1/8
t5 = t4/2 = 1/16

Sufficient

2) t2 = t1/2
t3 = t2/2 = t1/4
t4 = t3/2 = t1/8
t5 = t4/2 = t1/16

t1 - t5 = t1 -t1/16 = 15/16 t1 = 15/16 => t1 =1
t5 = t1/16 = 1/16

Sufficient

D
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