In a bank plan (200) rupees are deposited in the first month and (50) rupees more each next month. How much is deposited in the (7)th month?
Answer and explanation
Correct answer: ₹500
The monthly deposits form an arithmetic progression (AP), with first term \(a=200\) and common difference \(d=50\). The seventh-month deposit is \(a_7=a+(7-1)d=200+6\times 50=500\). Choosing \(₹550\) would incorrectly add seven increases instead of six. Exam tip: in the \(n\)th term of an AP, the number of increases is always \(n-1\).
Frequently asked questions
What is the correct answer to this question?
₹500
Why is this the correct answer?
The monthly deposits form an arithmetic progression (AP), with first term \(a=200\) and common difference \(d=50\). The seventh-month deposit is \(a_7=a+(7-1)d=200+6\times 50=500\). Choosing \(₹550\) would incorrectly add seven increases instead of six. Exam tip: in the \(n\)th term of an AP, the number of increases is always \(n-1\).
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.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
