Question

What is the 23rd term in the sequence 10,8,6,4,

Answer 1

-34.

Explanation:

This is an arithmetic sequence with first term a1 and common difference -2.

nth term = a1 + d(n - 1)

23rd term = 10 - 2(23-1)

= 10 - 44

= -34.

Answer 2

-34

Explanation:

The sequence starts with 10. Each subsequent term is 2 less than the previous term.

The common difference is -2.

The second term is 10 + (-2) × 1

The third term is 10 + (-2) × 2

The fourth term is 10 + (-2) × 3

Each term you subtract a multiple of -2 from 10. The multiple is 1 less than the number of the term multiplied by -2.

For term n, you get 10 + (-2) × (n - 1).

The 23rd term is:

10 + (-2) × (23 - 1) = 10 - 2 × 22 = 10 - 44 = -34