If savings increase by 50 rupees every week and the amounts are (100,150,200,250,\ldots), what is the common difference?
Answer and explanation
Correct answer: 50 रुपये
In an arithmetic progression formed by repeated weekly savings increases, the common difference is the fixed amount added from one week to the next. Subtract the first two listed savings amounts: 150 − 100 = 50 rupees. The same result appears in the following steps: 200 − 150 = 50 and 250 − 200 = 50. Thus the sequence has common difference d = 50 rupees, so option A is correct. The amount 100 is the initial saving, not the weekly increase. The values 150 and 250 are later terms of the progression, so they cannot represent its common difference. The real-life wording does not change the AP rule.
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What is the correct answer to this question?
50 रुपये
Why is this the correct answer?
In an arithmetic progression formed by repeated weekly savings increases, the common difference is the fixed amount added from one week to the next. Subtract the first two listed savings amounts: 150 − 100 = 50 rupees. The same result appears in the following steps: 200 − 150 = 50 and 250 − 200 = 50. Thus the sequence has common difference d = 50 rupees, so option A is correct. The amount 100 is the initial saving, not the weekly increase. The values 150 and 250 are later terms of the progression, so they cannot represent its common difference. The real-life wording does not change the AP rule.
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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