Question

In the given number series find out the odd term.
11, 27, 51, 83, 102, 171
(2) 27
(1) 51
(4) 102
(3) 171​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

In the given number series find out the odd term.

11, 27, 51, 83, 102, 171

(1) 51

(2) 27

(3) 171

(4) 102

EVALUATION

Here the given numbers are

11, 27, 51, 83, 102, 171

We now find a pattern in them

$\sf{11 = {3}^{2} + 2 }$

$\sf{27 = {5}^{2} + 2 }$

$\sf{51 = {7}^{2} + 2 }$

$\sf{83= {9}^{2} + 2 }$

$\sf{102= {10}^{2} + 2 }$

$\sf{171 = {13}^{2} + 2 }$

Thus we see that every number is of the form n² + 2

In each case of the numbers 11, 27, 51, 83 , 171 the number n is odd

But for 102 the number n is 10 which is even

So the odd term is 102

FINAL ANSWER

Hence the correct option is (4) 102

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Answer 2

Step-by-step explanation:

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