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Problems on Arithmetic Geometric Progressions

Q21. The sum of 6 + 7 + 8 + ...... + 18 = ?
(a) 132
(b) 156
(c) 178
(d) 210

Q22. The sum of all even numbers between 100 and 200 is
(a) 6289
(b) 6750
(c) 7129
(d) 7561

Q23. 45 + 46 + 47 + ...... + 113 + 114 = ?
(a) 4322
(b) 4859
(c) 5147
(d) 5565

Q24. The sum of all natural integers from 35 to 70 is
(a) 1732
(b) 1756
(c) 1890
(d) 1930

Q25. The sum of all natural integers between 100 and 200 which are multiples of 3
(a) 4950
(b) 5782
(c) 7742
(d) 8964



Q26. The 6th term of the G.P 3, 6, 11, 24 ....... is
(a) 54
(b) 69
(c) 81
(d) 96

Q27. In a G.P, the first term is 5 and the common ratio is 2. The 8th term is
(a) 525
(b) 580
(c) 640
(d) 720

Q28. Which term of the G.P 4, 8, 16, 32, ....... is 512
(a) 5
(b) 6
(c) 8
(d) 10

Q29. If the 4th and 9th terms of a G.P be 54 and 13122 respectively, then its 3rd term is
(a) 15
(b) 18
(c) 23
(d) 27

Q30. If x = y then which of the following statements is true ?

(a) x+y = √ xy
2
(b) x+y ‹ √ xy
2
(c) x+y > √ xy
2
(d) All of the above


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