Question

A worm that has had some magic potion, grows to "a" times its own length each week. If its length is "a" cm now, five weeks from now its length will be:

Answer 1

Answer:

a raised to the power 6

Step-by-step explanation:

If the initial length is x,

after week 1, its length will be a*x

after 2 weeks, its length will be (a^2)*x

.

.

.

after n weeks, its length will be (a^n)*x . This is the formula for its length after n weeks where x is its initial length.

So here, x=a, n=5

upon substituting, the answer will be (a^6)