Question

Find the next two terms.

1, 4,9, 16, 25, 36, ______ , ______

• A. 47, 58
• B. 49, 64
• C. 44 , 57
• D. 43 , 78

Answer 1

The correct option is B

49, 64

The terms in the sequence are:

$1=1\times 14=2\times 29=3\times 316=4\times 425=5\times 536=6\times 6$

We observe that the n${}^{th}$ term in the sequence is n $\times$ n.

So, the 7th term of the sequence = 7 $\times$ 7 = 49

The 8th term in the sequence = 8 $\times$ 8 = 64

So, the next two terms in the sequence are 49, 64.