Mathematics ECAT Pre Engineering Chapter 8 Sequences and Series Online Test With Answers

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Mathematics ECAT Pre Engineering Chapter 8 Sequences and Series Online Test

Sr. # Questions Answers Choice
1 The A.M. of two numbers is 34 and G.M. is 16, the numbers are 2 and 64 64 and 3 64 and 4 None of these
2 If ax= by= czand a, b, c are in G.P. then x, y, z are in A.P. G.P. H.P. None of these
3 If Srdenotes the sum of the first r terms of a G.P., then Sn, S2n- Sn, S3n- S2nare in A.P. G.P. H.P. None of these
4 Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon n, a, b n, a n, b n
5 The third term of a G.P. is 4, The product of first five terms is 43 45 46 None of these
6 5th term of a G.P. is 2, then the product of first 9 terms is 256 128 512 None of these
7 An A.P. consists of n(odd terms) and its middle term is m. then the sum of the A.P. is 2 mn 1/2 mn mn mn<sup>2</sup>
8 If a, b, c, d, e, f are in A.P.,then e-c is equal to 2(c - a) 2(f - d) 2(d - c) d - c
9 If a, b, c are in A.P., then 3a, 3b, 3care in A.P. G.P. H.P. None of these
10 The next term of the sequence 1, 2, 4, 7, 11, ..... is. 15 16 17 18
11 p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then q is an odd integer r is an even integer p is an even integer s is an odd integer
12 1 + 2 + 3 + ...... + n = ______
13 The third term of the sequence an= (-1)n-1(n-7) is ______ 8 4 -4 8
14 The fifth term of the sequence an= 2n + 3 is ______ 13 -13 8 3
15 If a1= 3, r = 2, then the nth term of the G.P. is 2.3<sup>n-1</sup> 3.2<sup>n</sup> 3.2<sup>n+1</sup> 3.2<sup>n-1</sup>
16 If a1, r and anare the first term, common ratio and the nth term respectively of a G. P. then an= a<sub>1</sub>r<sup>n</sup> a<sub>1</sub>r<sup>n-1</sup> a<sub>1</sub>r<sup>n+1</sup> a<sub>1</sub>r
17 2 -3/2 1 0
18 1, 1/2, 0 1, 2, 1 1, 2, 3 1, 2, 0
19 The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is 18 6 3 0
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23 If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively then A, G, H are in A. P. G. P. H. P. None of these
24 H1, H2, H3, .... Hnare called n harmonic means between a and b if a, H1, H2, H3, ... Hnb are in H.P. G.P. A.P. None of these
25 A number H is said to be the H.M. between a and b if a, H, b are in A.P. G. P. H. P. None of these
26 H.M. between 3 and 7 is
27 The harmonic mean between a and b is
28 an A.P. a G.P. a H.P. None of these
29 No term of a harmonic sequence can be 0 1 2 3
30 A sequence of number whose reciprocals form an arithmetic sequence is called Geometric sequence Arithmetic series Harmonic sequence Harmonic series
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