Question

Find the nth term of the sequence
C^2, C^5, C^8
been thinking for this for about an hour now.. :/

Answer 1

Well as you can see...each time the power goes up by 3...c^2 to c^5 is a change of c^3

We know that to add exponents we multiply them...so

to get from c^2 to c^5 we do c^2 * c^3 =c^(3 + 2) = c^5

So...from each term..you multiply by c^3

For nth-term = n-1* c^3

Example...for the 4th term...

4 - 1 = 3rd term = c^8 * c^3 = c^11

So on and so forth