Question 129

Select the number from the given options that can replace the question mark (?) in the following series.
2, 5, 10, ?, 26

Solution

The general pattern being followed here is that the nth term is defined as $$n^2+1$$
$$T_1=1+1$$
$$T_2=2^2+1$$
$$T_3=3^2+1$$
$$T_4=4^2+1$$
$$T_5=5^2+1$$

Therefore, the question mark would be best replaced by $$4^2+1=17$$

Hence, Option C is the correct answer. 

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