Arithmetic Progression Practice Problems: Level 02

Solve the following arithmetic progression problems:
1. The 7th term of an AP is -39/12 and the 15th term is -103/12. What is the 27th term?
A. -187/12
B. -191/12
C. -199/12
D. -205/12
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2. In an AP of 21 terms, the sum of the first 3 terms is – 33 and that of the middle 3 is 75. What is the sum of the AP?
A. -955
B. -1155
C. 525
D. 715
Q.3. The 6th term of an AP is 6 and the 16th term is 14. What is the 27th term?
A. 106/5
B. 22/5
C. 118/5
D. 114/5
Q.4. In an AP, the ratio of the 2nd term to the 7th term is 1/3. If the 5th term is 11, what is the 15th term?
A. 28
B. 31
C. 33
D. 36
Q.5. The sum of the first 3 terms in an AP is 6 and that of the last 3 is 16. If the AP has 13 terms, what is the sum of the middle three terms?
A. 7
B. 9
C. 11
D. 13
Q.6. In an AP, the ratio of the 7th term to the 10th term is -1. If the 16th term is -15, what is the 3rd term?
A. 11
B. 13
C. -11
D. -13
Q.7. In an AP, the sum of the first 3 terms is -36 and that of the last 3 is 27. If there are 10 terms, what are the 1 st term and the common difference respectively?
A. 15, 3
B. -15, 3
C. 15, -3
D. -15, -3
Q8. In an AP, the sum of the first 3 terms is – 60 and that of the last 3 are 84. If there are 15 terms, what is the sum of the middle 3 terms?
A. 8
B. 12
C. 16
D. 24
Q9. In an AP, the ratio of the 2nd term to the 6th term is 2/5. If the 8th term is 26, what is the 10th term?
A. 28
B. 29
C. 32
D. 33
Q10. The sum of the first 3 terms in an AP is 51 and that of the last 3 is 99. If the AP has 11 terms, what is the arithmetic mean of the middle 3 terms?
A. 17
B. 19
C. 21
D. 25
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