Question

Below are the first several terms in a sequence. 0.4, 2, 10, 50, .. Part A Write a formula for the nth term of the sequence. Be sure to specify a starting value of n.​

Answer 1

• aₙ = 0.4*5ⁿ⁻¹

Explanation:

Given sequence:

• 0.4, 2, 10, 50, ...

The first term is:

• a₁ = 0.4

The common ratio is:

• r = 50/10 = 10/2 = 2/0.4 = 5

The formula for the nth term is:

• aₙ = a₁rⁿ⁻¹
• aₙ = 0.4*5ⁿ⁻¹