Question

Given the sequence 1, 9, 25, 49, 81,
find the explicit formula.

Answer 1

Answer:121

Explanation:

1 = 1²

9 = 3²

25 = 5²

49 = 7²

81 = 9²

Rewriting the pattern -- 1², 3², 5², 7², 9²,.....

So the next number will be -- 11² = 121

Answer 2

121

Explanation:

this is a sequence of prime numbers

1×1=1,3×3=9, 5×5=25, 7×7=49,9×9=81,11×11=121