In an arithmetic progression, the first term is (22) and the second term is (16). What is (d)?
Answer and explanation
Correct answer: \(-6\)
In an arithmetic progression, the common difference is \(d=a_2-a_1\). Here, \(d=16-22=-6\), so the correct answer is \(-6\). Choosing \(6\) misses the negative sign; the second term is 6 less than the first term, so the common difference must be negative. Exam tip: always subtract the first term from the second term to find \(d\).
Frequently asked questions
What is the correct answer to this question?
\(-6\)
Why is this the correct answer?
In an arithmetic progression, the common difference is \(d=a_2-a_1\). Here, \(d=16-22=-6\), so the correct answer is \(-6\). Choosing \(6\) misses the negative sign; the second term is 6 less than the first term, so the common difference must be negative. Exam tip: always subtract the first term from the second term to find \(d\).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Introduction to APs and common difference..
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