Question

For the geometric sequence of a1=2 and r=2 find a5

Answer 1

@mathisfun13 Have you studies Geometric Sequences?

Answer 2

yea

Answer 3

OK, it's of the form
\[a_0, a_1, a_2...\]
in terms of \(a_0\)
\[a_1=a_0 \times r\]
\[a_2=a_0\times r^2\]
for any \(a_n\)
\[a_n=a_0\times r^{n-1}\]
r=common ratio

Do you get this part?

Answer 4

yesss

Answer 5

what would the n be tho? cause i dont see a n in the problem

Answer 6

For our case , we need to find a5
so n=5. Can you find a0 from a2 and given r

Answer 7

i thinkk so

Answer 8

Good, let me know if you get stuck

Answer 9

oooh i got 32?

Answer 10

Sorry, here a1 is actually a0. So it's a straight forward problem
\[a_5=a_1r^{5-1}\]
\[a_5=a_1r^4\]
You are right :)
\[a_5=2 \times 2^4=32\]