# Arithmetic Progressions Practice Problems: Level 01

Q1. The first and third terms of an A.P. {A1} are A1 = a and A3 = b, and a1 = a and a5 = b respectively be the first and fifth terms of another A.P. {a1}. Find the ratio of An+1 and a2n+1.
A. 2
B. 4
C. 1
D. b/a
Q2. There is a set of four numbers p, q, r and s respectively in such a manner that first three are in G.P. and the last three are in A.P. with a difference of 6. If the first and the fourth numbers are the same, find the value of p.
A. 8
B. 2
C. –4
D. –24
Q3. An Arithmetic Progression has 23 terms, the sum of the middle three terms of this arithmetic progression is 720, and the sum of the last three terms of this Arithmetic Progression is 1320. What is the 18th term of this Arithmetic Progression?
A. 240
B. 360
C. 340
D. 440
Q4. The first term of an Arithmetic Progression is 15 and the last term is 85. If the sum of all terms is 750, what is the 6th term?
A. 30
B. 40
C. 45
D. 55
5. The first term of an AP is 10 and the last term is 28. If the sum of all terms is 190, what is the common difference?
A. 5
B. 3
C. 1
D. 2
Q.6. . The sum of three numbers in an Arithmetic Progression is 45 and their product is 3000. What are the three numbers?
A. 5, 15, 25
B. 12, 15, 18
C. 10, 15, 20
D. -10, -15, -20
Q.7. The sum of the first six terms of an AP is 48 and the common difference is 2. What is the 4th term?
A. 6
B. 7
C. 9
D. 10
Q8. The sum of three numbers in Arithmetic Progression is 72 and their product is 11880. What are the numbers?
A. 21, 24, 27
B. 12, 24, 36
C. 18, 24, 30
D. 15, 24, 33
Q9. The first term of an AP is 3 and the last term is 17. If the sum of all terms is 150, what is the 5th term?
A. 5
B. 7
C. 9
D. 11
Q10. The 5th term of an AP is 17/6 and the 9th term is 25/6. What is the 12th term?
A. 29/6
B. 31/6
C. 33/6
D. 34/6