Question detail

notation check: find the nth term of the arithmetic sequence 22, 24, 26, 28. Show your working one step at a time.

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

Question

Type

exam_style

Style

Topic

Sequences

Question

notation check: find the nth term of the arithmetic sequence 22, 24, 26, 28. Show your working one step at a time.

Answer

The final answer is 2n + 20. The common difference is 2. Start with 2n because the sequence increases by 2. When n = 1, 2n gives 2. Adjust to the first term 22 by using + 20. 2n + 20

Explanation

exam warm-up keeps the canonical answer 2n + 20 fixed before the model answer is written, so the worked solution and final answer agree.

Common mistake

Recognising sequences common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Higher only] Include simple geometric progressions, other sequences and sequences involving surds where required..

Show the method first, then give the final answer in the required form. Apply this directly to Recognising sequences.

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