Question

Write the explicit rule for the nth term. Then find a21 {4, 16, 64...}

Answer 1

Answer:

The rule would be 4ⁿ

4²¹

Step-by-step explanation:

This is a geometric sequence, the terms are all powers of 4.

The rule here would be 4ⁿ

To find the 21st term, we simply substitute 21 for n in our rule. So:

= 4²¹

Leaving in index form is fine as the expanded number is very large