In the sequence (-8,-3,2,7,\ldots), what are (a) and (d) respectively?
Answer and explanation
Correct answer: \(-8,\ 5\)
In an AP, \(a\) is the first term, so \(a=-8\). The common difference is the difference between consecutive terms: \(d=-3-(-8)=5\). Therefore, \((a,d)=(-8,5)\). The option \((-8,-5)\) results from an incorrect sign while subtracting a negative number. Exam tip: write \(d=a_2-a_1\) and use brackets around negative terms.
Frequently asked questions
What is the correct answer to this question?
\(-8,\ 5\)
Why is this the correct answer?
In an AP, \(a\) is the first term, so \(a=-8\). The common difference is the difference between consecutive terms: \(d=-3-(-8)=5\). Therefore, \((a,d)=(-8,5)\). The option \((-8,-5)\) results from an incorrect sign while subtracting a negative number. Exam tip: write \(d=a_2-a_1\) and use brackets around negative terms.
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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