Question

Write the first three terms in the following sequences. Identify them as arithmetic or geometric

c. A(n + 1) = A(n) ÷ 10 for n ≥ 1 and A(1) = 10

Answer 1

10, 1, 0.1, 0.01

It is a geometric sequence

Explanation:

A(n + 1) = A(n) ÷ 10 for n ≥ 1 and A(1) = 10

A(1+1) = A(2) = A(1) / 10 = 10 / 10 = 1

A(2+1) = A(3) = A(2) / 10 = 1 / 10 = 0.1

A(3+1) = A(4) = A(3) / 10 = 0.1 / 10 = 0.01

It corresponds to a geometric sequence, which is defined by its starting number a (10), the common factor r (0.1) and the number of terms S.