The 6th term of an g p is 12 15 is grieven that the common ration is 3 find the 9th term
seventh term = sixth term * 3
eighth term = sixth term * 9
ninth term = sixth term * 27
To find the 9th term of a geometric progression (g.p.) where the 6th term is given as 12 and the common ratio is given as 3, we can use the formula for the nth term of a g.p.:
nth term = first term * (common ratio)^(n - 1)
In this case, the first term is not given, so we need to find it first. Since we know that the 6th term is 12 and the common ratio is 3, we can use the formula to solve for the first term:
12 = first term * (3)^(6 - 1)
Simplifying the equation:
12 = first term * 3^5
12 = first term * 3^5
12 = first term * 243
first term = 12 / 243
first term = 1/81
Now that we have the first term, we can find the 9th term using the same formula:
9th term = first term * (common ratio)^(9 - 1)
9th term = (1/81) * (3)^(8)
9th term = (1/81) * 6561
9th term = 6561 / 81
9th term = 81
Therefore, the 9th term of the geometric progression is 81.