If the first of a g.p is 8 and it common ratio 16 find the 18 term of the g.p
In a geometric progression (G.P.), the nth term is given by the formula:
\[a_n = a_1 \times r^{(n-1)}\]
where \(a_n\) is the nth term, \(a_1\) is the first term, \(r\) is the common ratio, and \(n\) is the term number.
Given that the first term is 8 (\(a_1 = 8\)) and the common ratio is 16 (\(r = 16\)), we can find the 18th term (\(a_{18}\)) by plugging in these values into the formula.
\[a_{18} = 8 \times 16^{(18-1)}\]
Simplifying this expression:
\[a_{18} = 8 \times 16^{17}\]
Calculating the value:
\[a_{18} = 57,646,075,230,342,760,448\]
Therefore, the 18th term of the given G.P. is 57,646,075,230,342,760,448.