Question

Identify each sequence as arithmetic or geometric. Explain your answer, and write an explicit formula for the

sequence.
b. 2, 10, 50, 250, …

Answer 1

Geometric Sequence

Explanation:

In this case it is Geometric Sequence as it has a common ratio of 5

Formula for nth term: a(n) = ar∧n-1

so if we take the third term we will calculate as follows:

50 = 2(r)∧3-1

50÷2 = r∧2

√25= r

r=5