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Question

For what value of n will 4165nachieve maximum value if nϵN.


A

3

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B

4

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C

6

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D

7

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Solution

The correct option is A

3


4165n gets maximum value if 16-5n is least

As n ∈ N, for n = 1 16 - 5n = 11

n = 2 16 - 5n = 6

n = 3 16 - 5n = 1

n = 4 16 - 5n = -4

. .

. .

. .

. .

The sequence is 411, 46, 41, 44, -----------

Observe that after n = 3, all the terms are negative and maximum value among positive terms occurs

for n = 3.

So, given expression 4165n achieves maximum value for n = 3.


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