Q. What is the next term of the geometric sequence?128,32,8,
Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic.In the given sequence, each term is a fraction of the previous term, which suggests it is a geometric sequence.
Find Common Ratio: Determine the common ratio of the sequence.To find the common ratio, divide a term by the previous term. For example, 32 divided by 128.12832=41Common Ratio: 41
Calculate Next Term: Calculate the next term in the sequence using the common ratio.The last term given is 8, so multiply it by the common ratio to find the next term.8×(41)=2
Check Calculation: Check the calculation for any mathematical errors.The sequence is decreasing, and each term is a quarter of the previous term. The calculation 8×(41)=2 is correct.