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
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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