Question

14. Write a linear equation to represent the sequence 3, 7, 11, 15, ….

Answer 1

y = 4x - 1

Explanation:

7 - 3 = 4

11 - 7 = 4

15 - 11 = 4

This is an arithmetic sequence with common difference = 4.

a_1 = 3

a_2 = 3 + 4

a_3 = 3 + 4 × 2

a_4 = 3 + 4 × 3

...

a_n = 3 + 4 × (n - 1)

a_n = 3 + 4n - 4

a_n = 4n - 1

y = 3x - 1