Question

What is the nth term rule of the linear sequence below?
22,18,14,10,6...

Answer 1

• aₙ = 26 - 4n

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Given sequence:

• 22,18, 14, 10, 6...

We observe that:

• The sequence is an AP as it is linear,
• The first term is 22,
• The common difference is - 4.

Use the nth term equation:

• aₙ = a₁ + (n - 1)d

Substitute the first term and common difference values:

• aₙ = 22 + (n - 1)(- 4) = 22 - 4n + 4 = 26 - 4n