If (a_1=25) and (a_2=18), what will (d) be?
Answer and explanation
Correct answer: -7
In an arithmetic progression, the common difference is \(d=a_2-a_1\). Hence, \(d=18-25=-7\). Therefore, \(-7\) is correct. Choosing \(7\) would miss the negative sign, since the second term is 7 less than the first term. Exam tip: always calculate \(d\) as next term − previous term.
Frequently asked questions
What is the correct answer to this question?
-7
Why is this the correct answer?
In an arithmetic progression, the common difference is \(d=a_2-a_1\). Hence, \(d=18-25=-7\). Therefore, \(-7\) is correct. Choosing \(7\) would miss the negative sign, since the second term is 7 less than the first term. Exam tip: always calculate \(d\) as next term − previous term.
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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