Question

If the 1st and 10th terms of geometric sequence are 4 and 100. Fine the nth term of the sequence

Answer 1

A(n)=ar^(n-1)  so

100=4r^9

25=r^9

ln25=9lnr

ln25/9=lnr

r=e^(ln25/9)

a(n)=4e^((n-1)(ln25/9)  if you wanted an approximation...

a(n)=4(1.43^(n-1))