GP - terms

Which term of the G.P., 2, 8, 32, ... up to n terms is 131072?

Correct answer:

n =  9

Step-by-step explanation:

a1=2 a2=8  q=a2/a1=8/2=4  a=131072  a = a1   qn1   qn1 = a/a1 (n1) ln q = ln a/a1  n1 =  ln qln a/a1  n=1+lnqln(a/a1)=1+ln4ln(131072/2)=9



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