Question

Find a3.

a1=5
an=5an–1
Write your answer as an integer or fraction in simplest form.

Answer 1

Hi,

Explanation:

`a_1=5\\a_n=5*a_(n-1)\\\\a_2=5*5=5^2=25\\\\\boxed{a_3=a_2*5=5^3=125}\\\\a_4=a_3*5=5^4=625\\a_5=a_4*5=5^5=3125\\`