The eighth term of a linear sequence is 26. The term-to-term rule is '

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

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

Answer»

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