Directions: One term in the number series given below is incorrect. Find out the wrong term.

15, 16, 20, 29, 45, 70, 107

The correct option is 107.

Step-by-step explanation:

Let us analyze the pattern of differences between consecutive terms in the given series:
15, 16, 20, 29, 45, 70, 107

$16-15=1=1^2$

$20-16=4=2^2$

$29-20=9=3^2$

$45-29=16=4^2$

$70-45=25=5^2$

The difference added to each term is the square of consecutive natural numbers (1², 2², 3², 4², 5², 6², ...).

Following this logic, the term after 70 should be obtained by adding 6² = 36 to 70:

$70+36=106$

However, the series given in the question contains 107 instead of 106. Therefore, 107 is the wrong term.