The correct option is A 156 ⇒ 42=( 7 ) #160;^ 2 7=49 7 56=( 8 ) #160;^ 2 8=64 8 Similarly, 132=( 12 ) #160;^ 2 12=144 12 Therefore, ...

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nth Term of A.P

42 : 56 : 132...

Question

42 : 56 : 132 : ?

156

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145

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110

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240

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Solution

The correct option is A 156
$\Rightarrow 42 = {(7)}^{2} - 7 = 49 - 7$
$56 = {(8)}^{2} - 8 = 64 - 8$
Similarly, $132 = {(12)}^{2} - 12 = 144 - 12$
Therefore, ${(13)}^{2} - 13 = 169 - 13 = 156$
So, the answer is (a).

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