In the arithmetic progression (12,19,26,33,\ldots), how much greater is each term than the previous term?
Answer and explanation
Correct answer: 7
Find the difference between two consecutive terms: \(19-12=7\). Also, \(26-19=7\) and \(33-26=7\), confirming that the difference is constant. Hence, each term is 7 greater than the previous term; this is the common difference of the AP. Choosing 6 does not match the actual difference between consecutive terms. Exam tip: In an AP, quickly find the common difference using \(d=a_2-a_1\).
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
Find the difference between two consecutive terms: \(19-12=7\). Also, \(26-19=7\) and \(33-26=7\), confirming that the difference is constant. Hence, each term is 7 greater than the previous term; this is the common difference of the AP. Choosing 6 does not match the actual difference between consecutive terms. Exam tip: In an AP, quickly find the common difference using \(d=a_2-a_1\).
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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