Question

Observe the pattern given below:
1, 4, 9, 16, 25, ...
The algebraic expression for $n^{th}$ term of the pattern is

• A. $n$
• B. $n^2+1$
• C. $n^2$
• D. $n^3+1$

Answer 1

The correct option is C $n^2$

1, 4, 9, 16, 25, ...
Each term in the pattern is a square of a natural number.
First term, $1=(1{)}^2=1$
Second term, $4=(2{)}^2=4$
Third term, $9=(3{)}^2=9$,
Similarly, $n^{th}$ term = $n^2$.
So, the algebraic expression for $n^{th}$ term of the pattern is $n^2$.