Exam Questions & Step-by-Step Markschemes (54 Problems)
Question 1 • 2024
4 Marks
If the sum of the first n terms of an AP is given by S_n = 3n^2 + 5n and its m^{\text{th}} term is 164 , find the value of m .
Answer: m = 27
Question 2 • 2024
4 Marks
If the sum of the first 14 terms of an AP is 1050 and its first term is 10 , find the 20^{\text{th}} term of this progression.
Answer: a_{20} = 200
Question 3 • 2024
3 Marks
An AP consists of 50 terms of which 3^{\text{rd}} term is 12 and the last term is 106 . Find the 29^{\text{th}} term.
Answer: a_{29} = 64
Question 4 • 2023
4 Marks
If the m^{\text{th}} term of an A.P. is \frac{1}{n} and its n^{\text{th}} term is \frac{1}{m} , show that its (mn)^{\text{th}} term is 1 .
Answer: \text{Hence Proved, } T_{mn} = 1
Question 5 • 2024
3 Marks
If the sum of the first 7 terms of an AP is 49 and that of 17 terms is 289, find the sum of the first n terms.
Answer: S_n = n^2
Question 6 • 2023
1 Marks
If x, 2x + 9, 4x + 3 are three consecutive terms of an A.P., then the value of x is:
Answer: (d) 15