Which term of the AP 9, 17, 25, … is 201?
Answer and explanation
Correct answer: 25वाँ
The sequence is an arithmetic progression with first term a = 9 and common difference d = 17 − 9 = 8. To find the position of 201, set the nth-term formula equal to 201: 201 = 9 + (n − 1)8. Thus 192 = 8(n − 1), so n − 1 = 24 and n = 25. Therefore 201 is the 25th term, making option C correct. The result is an integer, confirming that 201 actually belongs to the progression. A value such as 24 or 26 would correspond to a neighboring term because it uses one fewer or one more increment than required.
Frequently asked questions
What is the correct answer to this question?
25वाँ
Why is this the correct answer?
The sequence is an arithmetic progression with first term a = 9 and common difference d = 17 − 9 = 8. To find the position of 201, set the nth-term formula equal to 201: 201 = 9 + (n − 1)8. Thus 192 = 8(n − 1), so n − 1 = 24 and n = 25. Therefore 201 is the 25th term, making option C correct. The result is an integer, confirming that 201 actually belongs to the progression. A value such as 24 or 26 would correspond to a neighboring term because it uses one fewer or one more increment than required.
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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