Question

Find the wrong term in the series: 5, 27, 61, 122, 213, 340, 509

Answer 1

The wrong term in the series is 27 because :

5 = 2^3-3

61=4^3-3

122=5^3-3

213=6^3-3

340=7^3-3

509=8^3-3

But, 27 is not 3^-3

The number should be 24 in place of 27.

Hope it helps.

Answer 2

Hola mate

Here is your answer -

We have :

I: 5       27       61       122       213       340     509

II:  22       34       61         91       127     169

III:        12        27        30        36       42

IV:            15        3         6     ;       6            

Clearly, the given series becomes a triangular pattern series if each term in IV: is 6.

Again, in II: 34 must be replaced by (61 - 24) i.e., 37 and 22 by (37 - 18) i.e., 19.

Thus, in the given series, 27 is wrong and must be replaced by (5 + 19) i.e., 24.