The first term of a G.p is 6. If it's common ratio is 2/3, find the 5th term
To find the 5th term of a geometric progression (G.P.), we can use the formula: aₙ = a₁ * r^(n-1), where aₙ is the nth term, a₁ is the first term, r is the common ratio, and n is the position of the term we want to find.
Given that the first term (a₁) is 6 and the common ratio (r) is 2/3, we can substitute these values into the formula and solve for the 5th term (a₅):
a₅ = 6 * (2/3)^(5-1)
a₅ = 6 * (2/3)^4
a₅ = 6 * (16/81)
a₅ = 96/81
a₅ = 32/27
Therefore, the 5th term of the geometric progression is 32/27.