Q. What is the next term of the geometric sequence?3,6,12,
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 factor.The given sequence is geometric.
Find Common Ratio: Identify the common ratio of the geometric sequence.To find the common ratio, divide the second term by the first term or the third term by the second term.36=2 or 612=2Common Ratio: 2
Find Next Term: Find the next term in the sequence using the common ratio.The last term given in the sequence is 12.To find the next term, multiply the last term by the common ratio.12×2=24Next Term: 24