What is the first term greater than (300) in the AP (11,19,27,\ldots)?
Answer and explanation
Correct answer: 307
Here, the first term is 11 and the common difference is 8. Thus, \(a_n=11+8(n-1)=8n+3\). From \(8n+3>300\), we get \(n>37.125\), so the smallest possible integer is \(n=38\). Hence, \(a_{38}=307\) is the first term greater than 300. Although 299 is the nearest preceding term, it is not greater than 300. Exam tip: for “greater than” conditions, take the next valid integer value of \(n\).
Frequently asked questions
What is the correct answer to this question?
307
Why is this the correct answer?
Here, the first term is 11 and the common difference is 8. Thus, \(a_n=11+8(n-1)=8n+3\). From \(8n+3>300\), we get \(n>37.125\), so the smallest possible integer is \(n=38\). Hence, \(a_{38}=307\) is the first term greater than 300. Although 299 is the nearest preceding term, it is not greater than 300. Exam tip: for “greater than” conditions, take the next valid integer value of \(n\).
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.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
