5. Arithmetic Progressions – Worksheet

Multiple Choice Questions
Q1: For what value of a, are (2a – 1), 7 and 3a three consecutive terms of an A.P?
(a) 6
(b) 3
(c) 2
(d) 8

Q2: Find the value of p, so that (3p + 7), (2p + 5), (2p + 7) are in A.P
(a) 5
(b) -5
(c) 4
(d) -4

Q3: Solve the equation: 
1 + 4 + 7 + 10 + . . . + x = 287
(a) 40
(b) 41 
(c) 59 
(d) 54

Q4: Find the sum
..upto 11 terms
(a) 
(b) 
(c) 
(d) 

Ans: (d)


Q5: How many multiples of 4 lie between 10 and 250?
(a) 66
(b) 65
(c) 60
(d) 64

Short Answer Questions
Q6: Find the value of the middle most term (s) of the AP
-11, -7, -3,…, 49

Q7: The 4th term of an A.P is equal to 3 times the first term and the 7th term exceeds twice the 3rd term by 1. Find the A.P

Q8: The angles of a triangle are in A.P, the least being half the greatest. Find the angles

Long Answer Question
Q9: Find the sum of all three digit numbers which leave the remainder 3 when divided by 5.

Q10: The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and the 10th terms is 44. Find the first three terms of the AP.

You can access the solutions to this worksheet here.