Indian Institute of Foreign Trade 2017 Solved Paper

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Question : 64 of 114

Marks: +1, -0

In a certain sequence the term

x_n

is given by formula

x_n = 5x_{n-1}\; -\;3/4x_{n–2}

for n ≥ 2. What is the value of

x_3

, if

x_0

= 4 and

x_1 = 2

?

$67/2$
$37/2$
$123/4$
None

Solution:

Choice (A)

x _ { 2 } = 5 x _ { 1 } - { 3 } /{ 4 } x _ { 0 } = 5× 2 - { 3 }/ { 4 }× 4 = 7

⇒ x _ { 3 } = 5 x _ { 2 } - { 3 } /{ 4 } x _ { 1 } = 5 ×7 - { 3 }/ { 4 } × 2 = { 67 } /{ 2 }

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