Which term of the AP 26, 35, 44, … is 206?
Answer and explanation
Correct answer: 21वाँ
The first term of the AP is a = 26 and its common difference is d = 35 − 26 = 9. Let 206 be the nth term. Using aₙ = a + (n − 1)d, we obtain 206 = 26 + 9(n − 1). Hence 180 = 9(n − 1), so n − 1 = 20 and n = 21. Thus option C is correct. Another useful check is that the sequence reaches 206 after adding 9 twenty times to 26, which means the term itself has index 21 because the first term is counted before those additions. Options 19, 20, and 22 represent incorrect step counts.
Frequently asked questions
What is the correct answer to this question?
21वाँ
Why is this the correct answer?
The first term of the AP is a = 26 and its common difference is d = 35 − 26 = 9. Let 206 be the nth term. Using aₙ = a + (n − 1)d, we obtain 206 = 26 + 9(n − 1). Hence 180 = 9(n − 1), so n − 1 = 20 and n = 21. Thus option C is correct. Another useful check is that the sequence reaches 206 after adding 9 twenty times to 26, which means the term itself has index 21 because the first term is counted before those additions. Options 19, 20, and 22 represent incorrect step counts.
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.
