If (a=15) and (d=-4), what are the first four terms?
Answer and explanation
Correct answer: (15, 11, 7, 3)
In an AP, the first term is \(a=15\) and the common difference is \(d=-4\). Therefore, subtract 4 to get each next term: \(15,\;15-4=11,\;11-4=7,\;7-4=3\). Hence, the first four terms are \((15, 11, 7, 3)\). Option D starts from 11, so it omits the first term. Exam tip: a negative \(d\) means that the terms decrease.
Frequently asked questions
What is the correct answer to this question?
(15, 11, 7, 3)
Why is this the correct answer?
In an AP, the first term is \(a=15\) and the common difference is \(d=-4\). Therefore, subtract 4 to get each next term: \(15,\;15-4=11,\;11-4=7,\;7-4=3\). Hence, the first four terms are \((15, 11, 7, 3)\). Option D starts from 11, so it omits the first term. Exam tip: a negative \(d\) means that the terms decrease.
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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