The first term of a G.P is 2 and the common ratio is 2. Find the 6 th term.
The 6th term of a G.P with first term a and common ratio r is given by
a * r^(n-1)
where n is the position of the term we want to find.
In this case, a = 2, r = 2, and n = 6, so we have:
6th term = 2 * 2^(6-1) = 2 * 2^5 = 2 * 32 = 64
Therefore, the 6th term of this G.P is 64.
To find the 6th term of a geometric progression (G.P) with a first term of 2 and a common ratio of 2, we can use the formula for the nth term of a G.P:
nth term = a * r^(n-1)
where a is the first term, r is the common ratio, and n is the term number.
Plugging in the values, we have:
6th term = 2 * 2^(6-1)
Simplifying the exponent, we get:
6th term = 2 * 2^5
Evaluating the exponent, we have:
6th term = 2 * 32
Finally, multiplying the values, we get:
6th term = 64
Therefore, the 6th term of the G.P is 64.