Question

In a geometric sequence, the first term is 4 and the common ratio is

−
3
−3. The fifth term of this sequence is

Answer 1

Explanation:

To find the fifth term of the geometric sequence with a first term of 4 and a common ratio of -3, we can use the formula for the nth term of a geometric sequence:

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 given values, we have:

nth term = 4 * (-3)^(5-1)

Simplifying the exponent, we get:

nth term = 4 * (-3)^4

Evaluating (-3)^4, we have:

nth term = 4 * 81

Calculating the product, we find:

nth term = 324

Therefore, the fifth term of the geometric sequence is 324.