Question detail

Use a checking method for this problem: final-answer check: find the nth term of the arithmetic sequence 23, 26, 29, 32. State the final answer and verify it against the information in the question.

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

Use a checking method for this problem: final-answer check: find the nth term of the arithmetic sequence 23, 26, 29, 32. State the final answer and verify it against the information in the question.

Answer

A valid checked answer is 3n + 20. The method is: The common difference is 3. Start with 3n because the sequence increases by 3. When n = 1, 3n gives 3. Adjust to the first term 23 by using + 20. 3n + 20 The final line agrees with the canonical answer.

Explanation

calculator check keeps the canonical answer 3n + 20 fixed before the model answer is written, so the worked solution and final answer agree.

Common mistake

Generating sequence terms common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Generate terms of a sequence from a term-to-term rule or a position-to-term rule..

Show the method first, then give the final answer in the required form. Apply this directly to Generating sequence terms.

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