Question

can somebody help me find the 11th term of the geometric sequence 6,30,150,750?

Answer 1

geometrice
an=a1(r)^(n-1)
a1=first term
r=common ratio
n=which term

we see first term is 6
common ratio is a term divided by the previous term
30/6=5
r=5

an=6(5)^(n-1)
11th term
a11=6(5)^(11-1)
a11=6(5)^10
a11=6(9765625)
a11=58593750
the 11th term is 58593750