In a bank plan (300) rupees are deposited in the first month and (100) rupees more each next month. How much is deposited in the (6)th month?
Answer and explanation
Correct answer: 800 rupees
The monthly deposits form an arithmetic progression (AP) with first term \(a=300\) and common difference \(d=100\). The \(n\)th term is \(a_n=a+(n-1)d\). Therefore, \(a_6=300+(6-1)\times100=800\) rupees, so option B is correct. Choosing 700 rupees counts only four increases, but there are five increases from the first month to the sixth month. Exam tip: always use \((n-1)\) in the formula for the \(n\)th term.
Frequently asked questions
What is the correct answer to this question?
800 rupees
Why is this the correct answer?
The monthly deposits form an arithmetic progression (AP) with first term \(a=300\) and common difference \(d=100\). The \(n\)th term is \(a_n=a+(n-1)d\). Therefore, \(a_6=300+(6-1)\times100=800\) rupees, so option B is correct. Choosing 700 rupees counts only four increases, but there are five increases from the first month to the sixth month. Exam tip: always use \((n-1)\) in the formula for the \(n\)th term.
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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