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If an arithmetic progression has (d=-1.5) and first term (10), what is the second term?
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Answer and explanation
Correct answer: 8.5
The second term of an AP is \(a_2=a_1+d\). Here, \(a_1=10\) and \(d=-1.5\), so \(a_2=10+(-1.5)=8.5\). The value 9.5 would result if the common difference were \(-0.5\), so it is not correct. Exam tip: adding a negative common difference decreases the term.
Frequently asked questions
What is the correct answer to this question?
8.5
Why is this the correct answer?
The second term of an AP is \(a_2=a_1+d\). Here, \(a_1=10\) and \(d=-1.5\), so \(a_2=10+(-1.5)=8.5\). The value 9.5 would result if the common difference were \(-0.5\), so it is not correct. Exam tip: adding a negative common difference decreases the 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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