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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasyLevel 72
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A donation box receives (80) rupees on the first day and (20) rupees more each next day. How much money is received on the (8)th day?

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Answer and explanation

Correct answer: 220 rupees

The daily amount forms an AP with first term 80 and common difference 20. The 8th term is \(a_8=80+(8-1)\times20=80+140=220\). Therefore, 220 rupees are received on the 8th day. Choosing 210 would not account for the seven increases of 20 from day 1 to day 8. Exam tip: Use \(a_n=a+(n-1)d\) to find the nth term of an AP.

Related tags

Arithmetic ProgressionAp Word ProblemsNth TermCommon DifferenceClass 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

220 rupees

Why is this the correct answer?

The daily amount forms an AP with first term 80 and common difference 20. The 8th term is \(a_8=80+(8-1)\times20=80+140=220\). Therefore, 220 rupees are received on the 8th day. Choosing 210 would not account for the seven increases of 20 from day 1 to day 8. Exam tip: Use \(a_n=a+(n-1)d\) to find the nth term of an AP.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Word problems based on APs.

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