Question

What is the eighth term of the sequence $1,4,9,16,25,....$?

• A. $8$
• B. $64$
• C. $128$
• D. $200$

Answer 1

The correct option is B $64$

The given sequence is $1,4,9,16,25,......$

We can see that, when $n=1,$ the term is $1^2$

Similarly, for $n=2,$ it is $2^2\left(4\right)$

for $n=3,$ it is $3^2\left(9\right)$

Hence, for $n$, the term is $n^2$

$\therefore$ for $n=8$, it will be,

$8^2\Rightarrow 64$