Question

find the nth term and write an equation to express 4,36,100,196,324

so far I've got 32(n-1) + 4 but it only works for the first two . . .

Answer 1

4 = 2^2
36 = 6^2
100 = 10^2
196 = 14^2
324 = 18^2

ahhh, so the base is a multiple of 4 but starts with 2
so how about a base of 4n-2

all we have to do is square it, so ...

term(n) = (4n-2)^2

check: let n = 5
term(5) = (2-2)^2 = 18^2 = 324
looks like we got it.

Answer 2

Thank you!!