Question

4) In a geometric sequence, the first term is 4 and the common ratio is -3. The fifth term of

this sequence is
A) 324
B) -324
C) 108
D) -108

Answer 1

The fifth term of the geometric sequence with a first term of 4 and a common ratio of -3 is 324.

Step-by-step explanation:

The formula for finding a term in a geometric sequence is given by:

an = a1 * r(n-1)

Where:
an is the nth term of the sequence
a1 is the first term
r is the common ratio

In this case, the first term (a1) is 4 and the common ratio (r) is -3. We are asked to find the 5th term (a5). Substituting the values into the formula:

a5 = 4 * (-3)(5-1)

a5 = 4 * (-3)4

a5 = 4 * 81

a5 = 324

Therefore, the fifth term of this geometric sequence is 324. So, the answer is A) 324.

Answer 2

a=4, r=3. Therefore the 5th term in this geometric sequence where the first term is 4 and the common ratio is 3 is 324.