Question

The $n^{th}$ term of the pattern 1, 4, 9, 16, 25...... is _____.

• A. n+3
• B. n+5
• C. n(n-1)
• D. $n^2$

Answer 1

The correct option is D

$n^2$

The pattern in the above case is,
$1=1^2$, (1st term; n=1)
$4=2^2$, (2nd term; n=2)
$9=3^2$ (3rd term; n=3)
and so on.
Similarly, the term at $n^{th}$ position of the pattern will be $n^2$.