If consecutive terms of an arithmetic progression are 32 and 41, what will be the common difference d?
Answer and explanation
Correct answer: 9
The common difference of an arithmetic progression is obtained by subtracting the earlier term from the immediately following term. Since the consecutive terms are 32 and 41 in that order, d = 41 − 32 = 9. Therefore the progression increases by 9 at this step, and option C is correct. The value 73 comes from adding the two terms rather than finding their difference. Values 7 and 8 result from incorrect subtraction or estimation. No nth-term or sum formula is needed because two consecutive terms directly reveal the common difference. The same d would occur between every neighboring pair in a true arithmetic progression.
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
The common difference of an arithmetic progression is obtained by subtracting the earlier term from the immediately following term. Since the consecutive terms are 32 and 41 in that order, d = 41 − 32 = 9. Therefore the progression increases by 9 at this step, and option C is correct. The value 73 comes from adding the two terms rather than finding their difference. Values 7 and 8 result from incorrect subtraction or estimation. No nth-term or sum formula is needed because two consecutive terms directly reveal the common difference. The same d would occur between every neighboring pair in a true arithmetic progression.
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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