In a rent plan the first month rent is (₹1500) and it increases by (₹75) each month. What is the rent in the (14)th month?
Answer and explanation
Correct answer: ₹2475
This is an AP with first term \(a=1500\), common difference \(d=75\), and \(n=14\). Using \(a_n=a+(n-1)d\), \(a_{14}=1500+(14-1)\times75=1500+975=₹2475\). Option ₹2550 incorrectly adds the increase 14 times; by the 14th month, it has been added only 13 times. Exam tip: use \((n-1)d\), not \(nd\), for the \(n\)th term.
Frequently asked questions
What is the correct answer to this question?
₹2475
Why is this the correct answer?
This is an AP with first term \(a=1500\), common difference \(d=75\), and \(n=14\). Using \(a_n=a+(n-1)d\), \(a_{14}=1500+(14-1)\times75=1500+975=₹2475\). Option ₹2550 incorrectly adds the increase 14 times; by the 14th month, it has been added only 13 times. Exam tip: use \((n-1)d\), not \(nd\), 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: Finding the $n$th term of an AP.
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