In the sequence (-5,-1,3,7,\ldots), what are (a) and (d) respectively?
Answer and explanation
Correct answer: \(a=-5,\ d=4\)
In an AP, \(a\) is the first term, so \(a=-5\). The common difference \(d\) is the difference between consecutive terms: \(d=-1-(-5)=4\). Hence, the correct pair is \(a=-5,\ d=4\). In option C, the common difference is correct, but the first term is not. Exam tip: To find \(d\), subtract the previous term from the next term.
Frequently asked questions
What is the correct answer to this question?
\(a=-5,\ d=4\)
Why is this the correct answer?
In an AP, \(a\) is the first term, so \(a=-5\). The common difference \(d\) is the difference between consecutive terms: \(d=-1-(-5)=4\). Hence, the correct pair is \(a=-5,\ d=4\). In option C, the common difference is correct, but the first term is not. Exam tip: To find \(d\), subtract the previous term from the next 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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