Choosing whether a sequence is an AP
Choosing whether a sequence is an AP means checking if the differences between consecutive terms are all equal.
Practice This ConceptMain explanation
Teacher explanation
This skill is essential because students must not assume every regular-looking list is an AP. Some sequences increase unevenly, while others may follow a different pattern entirely. The safest method is to compare consecutive differences carefully and consistently.
Example
The sequence 1, 4, 7, 10 is an AP, but 1, 3, 6, 10 is not an AP because the differences are not equal.
Simple analogy
Equal gaps decide AP, not just a nice-looking pattern.
Common confusion
Students often decide from the first two terms only and ignore the rest of the sequence.
Exam tip
Check at least three consecutive differences before finalising your answer.
Answer writing and exam use
1-mark use
Write the exact meaning of choosing whether a sequence is an ap in one clean line.
2-mark use
Define choosing whether a sequence is an ap and add one example or condition.
3-mark use
Explain choosing whether a sequence is an ap, show the method or example, and mention the common mistake.
Practice this concept with focused MCQs
Open the concept quiz intro first, review the test details, and then start a focused MCQ set from this concept only. Instant score and answer review are live now.
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