Q. What is the next term of the geometric sequence?5,10,20,
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 indicates that the sequence is geometric.
Find Common Ratio: Determine the common ratio of the sequence.To find the common ratio, divide the second term by the first term or the third term by the second term.510=2 or 1020=2Common Ratio: 2
Calculate Next Term: Calculate the next term in the sequence using the common ratio.The last term given in the sequence is 20. To find the next term, multiply the last term by the common ratio.20×2=40