In the AP (-25,-14,-3,\ldots), what is the first term greater than (200)?
Answer and explanation
Correct answer: 206
Here, the first term is \(a=-25\) and the common difference is \(d=11\). Thus, \(a_n=-25+11(n-1)=11n-36\). For \(a_n>200\), \(11n-36>200\), so \(n>21.45\). The smallest integer value is \(n=22\), giving \(a_{22}=206\). The value \(195\) is the preceding term, \(a_{21}\), so it is not greater than 200. Exam tip: For a “first term greater than” question, take the smallest integer satisfying the inequality.
Frequently asked questions
What is the correct answer to this question?
206
Why is this the correct answer?
Here, the first term is \(a=-25\) and the common difference is \(d=11\). Thus, \(a_n=-25+11(n-1)=11n-36\). For \(a_n>200\), \(11n-36>200\), so \(n>21.45\). The smallest integer value is \(n=22\), giving \(a_{22}=206\). The value \(195\) is the preceding term, \(a_{21}\), so it is not greater than 200. Exam tip: For a “first term greater than” question, take the smallest integer satisfying the inequality.
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.
