Find the 8th term of a g.p where the first term is 2 and common ratio is 3
To find the 8th term of a geometric progression (g.p) with a first term of 2 and a common ratio of 3, we can use the formula for the nth term of a g.p:
Tₙ = a * r^(n-1)
where Tₙ is the nth term, a is the first term, r is the common ratio, and n is the term number.
Plugging in the given values, we have:
T₈ = 2 * 3^(8-1)
Simplifying the exponent:
T₈ = 2 * 3^7
Evaluating the power of 3:
T₈ = 2 * 2187
Calculating the product:
T₈ = 4374
Therefore, the 8th term of the geometric progression is 4374.