Question

The $n^{th}$ term of the pattern 2, 5, 10, 17..... is ______.

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

Answer 1

The correct option is A $n^2+1$

2, 5, 10, 17.................
The pattern in the above case,
2 = $1^2+1$, (1st term; n=1)
5 = $2^2+1$, (2nd term; n=2)
10 = $3^2+1$, (3rd term; n=3) and so on.
Similarly, the term of the pattern at $n^{th}$ position is $n^2+1$.