In a mobile data plan, (2) GB data is given on the first day and (1) GB more each next day. How much data is given on the (14)th day?
Answer and explanation
Correct answer: 15 GB
This is an arithmetic progression with first term \(a=2\) GB and common difference \(d=1\) GB. The nth term is \(a_n=a+(n-1)d\). Therefore, \(a_{14}=2+(14-1)\times1=15\) GB. Option A incorrectly ignores that the increase is added 13 times after the first day. Exam tip: For the nth term of an AP, use \(n-1\) common differences.
Frequently asked questions
What is the correct answer to this question?
15 GB
Why is this the correct answer?
This is an arithmetic progression with first term \(a=2\) GB and common difference \(d=1\) GB. The nth term is \(a_n=a+(n-1)d\). Therefore, \(a_{14}=2+(14-1)\times1=15\) GB. Option A incorrectly ignores that the increase is added 13 times after the first day. Exam tip: For the nth term of an AP, use \(n-1\) common differences.
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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