Question

The eighth term of a linear sequence is 26. The term-to-term rule is 'add 3
Work out the fourth term of the sequence.
Explain the method you used to solve this problem.​

Answer 1

Answer:

The fourth term of the sequence is 14. The method used to solve this is Arithmetic Progression (AP).

Step-by-step explanation:

In the AP,

d = 3

a₈ = 26

⇒ a + 7d = 26                               [aₙ = a + (n-1)×d]

⇒ a + (7 × 3) = 26

⇒ a + 21 = 26

⇒ a = 5

∴ a₄ = a + 3d

       = 5 + (3 × 3)

       = 5 + 9

       = 14