Question Details

Find the wrong term in the series given below.

5, 10, 17, 24, 37, 50, 65

Options

A

37

B

17

C

24

D

50

Show Answer

Correct Answer :

Option C

24

Solution :

The correct option is 24.

Let us analyze the pattern of the given series: 5, 10, 17, 24, 37, 50, 65.

We can check the relationship between each term and the squares of consecutive integers. Let us examine the general term expression:
Tn = n2 + 1
where n represents consecutive integers starting from 2.

Let us calculate the expected values for each term in the series:
For n=2: 22+1=4+1=5
For n=3: 32+1=9+1=10
For n=4: 42+1=16+1=17
For n=5: 52+1=25+1=26
For n=6: 62+1=36+1=37
For n=7: 72+1=49+1=50
For n=8: 82+1=64+1=65

Comparing the calculated values with the given series:
5, 10, 17, 24, 37, 50, 65
We see that all terms follow the pattern of n2+1 except for the fourth term, which is given as 24 instead of the expected 26.

Therefore, 24 is the wrong term in the series.

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