Q. What is the next term of the geometric sequence?5,20,80,
Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic.In the given sequence, consecutive terms seem to have a common ratio because each term is larger than the previous one by more than a fixed difference.
Find Common Ratio: Identify the common ratio.To find the common ratio, divide a term by the previous term. Using the second and first term:520=4Common Ratio: 4
Calculate Next Term: Find the next term.To find the next term, multiply the last term by the common ratio.80×4=320Next Term: 320