The common ratio of a G.p is 2. If the fifth term is greater than the first by 45,find the fifth term
Let the first term of the G.P be a.
The common ratio is given as 2.
Therefore, the terms of the G.P are: a, 2a, 4a, 8a, 16a, ...
The fifth term is 16a.
Given that the fifth term is greater than the first term by 45, we have:
16a - a = 45
15a = 45
a = 3
Therefore, the fifth term is:
16a = 16(3) = 48
So, the fifth term of the G.P is 48.