Q. What is the next term of the geometric sequence?3,15,75,
Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic.In the given sequence, each term after the first is obtained by multiplying the previous term by a constant number, which suggests that the sequence is geometric.
Find Common Ratio: Identify the common ratio of the sequence.To find the common ratio, divide the second term by the first term.Common ratio r = 315 = 5
Calculate Next Term: Use the common ratio to find the next term in the sequence.The next term is found by multiplying the last known term by the common ratio.Next term = 75×5=375