Question

show all work. write a recursive formula for the arithmetic sequence {an} = {2.6, 4, 5.4, 6.8, 8.2, ...}

Answer 1

• a₁ = 2.6
• aₙ = aₙ₋₁ + 1.4

Explanation:

Given

The arithmetic sequence

• {aₙ} = {2.6, 4, 5.4, 6.8, 8.2, ...}

We can see the common difference is d = 1.4

The formula for this sequence is:

• a₁ = 2.6
• aₙ = aₙ₋₁ + 1.4