In a mobile data plan, 3 GB of data is given on the first day and 2 GB more is given each successive day. How much data is given on the 15th day?
Answer and explanation
Correct answer: 31 जीबी
The daily data amounts form an arithmetic progression because the same amount, 2 GB, is added each day. Here the first term is a = 3, the common difference is d = 2, and the required day is the 15th term. Use the nth-term formula aₙ = a + (n − 1)d. Therefore, a₁₅ = 3 + (15 − 1) × 2 = 3 + 28 = 31 GB. Hence option B is correct. Option A results from using only 14 GB of increase incorrectly, while 33 and 35 arise from adding too much or treating the first day as an additional increase.
Frequently asked questions
What is the correct answer to this question?
31 जीबी
Why is this the correct answer?
The daily data amounts form an arithmetic progression because the same amount, 2 GB, is added each day. Here the first term is a = 3, the common difference is d = 2, and the required day is the 15th term. Use the nth-term formula aₙ = a + (n − 1)d. Therefore, a₁₅ = 3 + (15 − 1) × 2 = 3 + 28 = 31 GB. Hence option B is correct. Option A results from using only 14 GB of increase incorrectly, while 33 and 35 arise from adding too much or treating the first day as an additional increase.
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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