Question

With the help of inductive reasoning, the next term of the series 1, 4, 9, 16 will be .

• A. 25
• B. 32
• C. 64

Answer 1

The correct option is A 25

The series given here is such that every term is the square of consecutive natural numbers.

This type of reasoning which is based on discovering patterns and forming conclusions is known as inductive reasoning.

1st term = $1^2=1$
2nd term = $2^2=4$
3rd term = $3^2=9$
4th term = $4^2=16$

Hence, with the help of inductive reasoning 5th term will be $5^2=25$.