Question

30
what is the 5th term of the geometric
Sequence 3/20,3/2=15​

Answer 1

Answer:

15000 The given geometric sequence is 3/20,3/2,15,….

General geometric sequence is in the form of a, ar, ar^2,…….

By comparing the given sequence with general geometric sequence,

a=3/20,

r=(nth term) /((n-1)th term)

Here, r=(3/20)/(3/2)

r=10.

In geometric series, the nth term will be, An=a*r^(n-1)

So, the 5th term in the given geometric sequence is A5=(3/20)*(10)^(5-1)=(3/20)×10^(4)

=(3/20)×10000

=1500.