In the sequence (-2,3,8,13,\ldots), what are (a) and (d) respectively?
Answer and explanation
Correct answer: \(a=-2,\ d=5\)
In an AP, \(a\) is the first term, so \(a=-2\). The common difference \(d\) is the difference between consecutive terms: \(d=3-(-2)=5\). Therefore, \(a=-2,\ d=5\) is correct. Option B incorrectly treats the second term, 3, as the first term. Exam tip: take extra care with signs when subtracting a negative number.
Frequently asked questions
What is the correct answer to this question?
\(a=-2,\ d=5\)
Why is this the correct answer?
In an AP, \(a\) is the first term, so \(a=-2\). The common difference \(d\) is the difference between consecutive terms: \(d=3-(-2)=5\). Therefore, \(a=-2,\ d=5\) is correct. Option B incorrectly treats the second term, 3, as the first term. Exam tip: take extra care with signs when subtracting a negative number.
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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