1) Write the first five temrs of the geometric sequence

a1 = 2 r=sqrt3

I know the first term is 2 but the sqrt 3 threw me off so I do not know how to find the next numbers.

2) Find the nth term of the geometric sequence.

a2 = 3 a5 = 3/64 n=1

I know the formula is a1^r n-1 but I do not know how to find a1.

3 answers

Answered Already
2
2 sqrt 3
2*3 = 6
6 sqrt 3
6*3 = 18
18 sqrt 3
18*3 = 54 etc
a1
a1 r = 3
a1 r^2
a1 r^3
a1 r^4 = 3/64

so
a1 = 3/r

( 3 r^4/r) = 3/64
r^3 = 1/64 = 1/2^6
r = 1/2^2
r = 1/4
a1 = 12
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