Mathematics-5.Unit-07-Progression & Series Test

1. If the third term of a G.P. is equal to 4, then product of it’s first five terms is equal to: (A) (B) (C) (D) None of these 2. If a, b, c be in AP and a2, b2, c2 be in HP, then , b ,c are in : (A) A.P. (B) G. P. (C) H. P. (D) can't be said 3. Value of terms is equal to: (A) (B) (C) (D) None of these 4. If a, b, c and d are distinct positive numbers in H.P. , then (A) a+b > c+d (B) a+c > b+d (C) a+d > b+c (D) none of these 5. If a, b, c such that a + b + c = 18, then the maximum value of is equal to: (A) (B) (C) (D) 6. is the H.M. and is the G.M. of positive real numbers ‘a’ and ‘b’. If then a : b is: (A) 5 : 4 (B) 1 : 4 (C) 1 : 5 (D) None of these 7. The following consecutive terms of a series are in (A) H.P (B) G.P (C) A.P (D) A.P, G.P 8. a, b, c and form an A.P. and abc = 4 then minimum value of ‘b’ is: (A) (B) (C) (D) None of these 9. The sum of the integers from 1 to 100 that are divisible by 2 or 5 is (A) 3000 (B) 3050 (C) 3600 (D) none of these 10. If log2, log(2x-1) and log(2x+3) are in A.P. , then the value of x is (A) 5/2 (B) log25 (C) log35 (D) log53 11. a, b, c, d such that a, b, c are in A.P. and b, c, d are in H.P., then: (A) ab = cd (B) ac = bd (C) bc = ad (D) None of these 12. If ax = by = cz and x, y, z are in H.P., then a, b, c are in (A) A.P (B) G.P (C) H.P (D) none of these 13. If denotes the sum of first ‘n’ terms of a A.P., then is always equal to: (A) 2n (B) 2n + 1 (C) 2n - 1 (D) None of these 14. If Sn = 1 + 3 + 6 + 10 +.........+ then Sn is (A) (B) (C) (D) None of these. 15. If equals to (A) π2/6 (B) π2/16 (C) π2/8 (D) none of these 16. If a, b, c form a A.P., then will be in: (A) A.P. (B) G.P. (C) H.P. (D) None of these 17. The rational number which equals to the number with reccurring decimal is (A) (B) (C) (D) none of these 18. If x > 1, y > 1, z > 1 are in G.P., then are in (A) A.P (B) H.P (C) G.P (D) none of these 19. , i = 1, 2, …., n is a point on the curve . If are in G.P. with , then is equal to: (A) (B) (C) (D) None of these 20. The least value of the expression 5sinx-1 + 5-sinx-1 (A) 2/5 (B) 1/5 (C) 5 (D) 5/2 21. Sum of first ‘n’ terms of the sequence 5, 7, 11, 17, 25,…. is equal to: (A) (B) (C) (D) 22. If log4 x + log4 + log4 + log4 + …….+ log4 = log2 x, then values of n is (A) 1 (B) 2 (C) 3 (D) infinite 23. If are in A.P., then a, b, c are in (A) A.P (B) G.P (C) H.P (D) none of these 24. If a, b, c, d are in H.P., then ab + bc + cd is equal to: (A) a(2c + d) (B) c(2a + d) (C) b(2c + d) (D) None of these 25. The sum of the first n odd natural numbers is (A) n2 (B) 2n (C) (D) 26. If 1+a+ a2+ a3+….an = (1+a)(1+a2) (1+a4) then n is given by (A) 3 (B) 5 (C) 7 (D) 9 27. terms, is equal to: (A) (B) (C) (D) None of these 28. The sum of first n terms of the series is equal to (A) 2n - n - 1 (B) 1-2-n (C) n + 2-n-1 (D) 2n -1 29. The sum to n terms of the series 1+2(1 + )+ 3(1+ )2+.... is given by (A) n2 + 1 (B) n(n + 1) (C) n(1+1/n)2 (D) n2 30. The sum of the first 10 terms of the series + …….. is (A) 121( ) (B) (C) 243( + 1) (D) 243( – 1)

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