The first term of a GP is 6
If the common ratio is 2.Find the sixth term
To find the sixth term of a geometric progression (GP), we can use the formula:
Tn = a * r^(n-1)
Where:
Tn is the nth term of the GP
a is the first term of the GP
r is the common ratio of the GP
n is the position of the term we want to find
In this case, the first term a is 6 and the common ratio r is 2. We want to find the sixth term, so n = 6.
T6 = 6 * 2^(6-1)
T6 = 6 * 2^5
T6 = 6 * 32
T6 = 192
Therefore, the sixth term of the GP with a first term of 6 and a common ratio of 2 is 192.