Question

Write an explicit rule for the nth term of the sequence

64,48,36,27

Answer 1

• aₙ = 64(3/4)ⁿ⁻¹

Explanation:

Given sequence:

• 64, 48, 36, 27

We can observe that:

• 27/36 = 3/4
• 36/48 = 3/4
• 48/64 = 3/4

This is a GP with the first term of 64 and common ratio of 3/4.

The equation for the nth term is:

• aₙ = 64(3/4)ⁿ⁻¹