the fist of a g.p is 8 and it common ratio 16. find the 18 term of the g.p
To find the 18th term of the geometric progression (G.P), we need to use the formula for the nth term of a G.P:
Tn = a * r^(n-1)
Where:
Tn = nth term
a = first term of the G.P
r = common ratio
n = term number
In this case, the first term (a) is 8 and the common ratio (r) is 16. We want to find the 18th term, so n = 18.
T18 = 8 * 16^(18-1)
= 8 * 16^17
Calculating this using a calculator, we get:
T18 ≈ 9.22337204 x 10^16
Therefore, the 18th term of the G.P is approximately 9.22337204 x 10^16.