In the arithmetic progression (17,13,9,5,\ldots), what is the product of the first term and the common difference?
Answer and explanation
Correct answer: \(-68\)
The first term of the AP is \(a=17\). The common difference is found by subtracting the previous term from the next term: \(d=13-17=-4\). Therefore, \(a\times d=17\times(-4)=-68\), so option B is correct. \(-4\) is only the common difference, not the required product. Exam tip: Find the common difference using next term − previous term.
Frequently asked questions
What is the correct answer to this question?
\(-68\)
Why is this the correct answer?
The first term of the AP is \(a=17\). The common difference is found by subtracting the previous term from the next term: \(d=13-17=-4\). Therefore, \(a\times d=17\times(-4)=-68\), so option B is correct. \(-4\) is only the common difference, not the required product. Exam tip: Find the common difference using 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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