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 Find the sum of the infinite geometric series 2 + 1 + 0.5 + .... 3.5 3 4 None of these
2 0 1 2 3
3 The series obtained by adding the terms of a geometric sequence is called Infinite series Arithmetic series Geometric series Harmonic series
4 The sum of an infinite geometric series exist if | r | < 1 | r | > 1 r = 1 r = -1
5 If a1, r are first term and the common ratio respectively then the sum of an infinite geometric series is
6 If a1and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is 0 a<sub>1</sub>r<sup>n-1</sup> a<sub>1</sub>r<sup>n+1</sup> a<sub>1</sub>r<sup>n</sup>
7 The common ration of a geometric sequence cannot be 0 1 2 3
8 No term of a geometric sequence can be 0 1 2 3
9 Sum of n terms of a geometric series if | r | < 1 is
10
11 Find the geometric mean between 4 and 16
12 The numbers of G1, G2, G3...... Gnare called n geometric means between a and b is a, G1, G2,G3, ... Gn, b are in H.P. A.P. G.P. None of these
13 G is geometric mean between a and b if a, G, b is A.P. G.P. H.P. None of these
14 Geometric mean between a and b is
15 3, 6, 12,.... is A.P G.P. H.P. None of these
16 The nth term of a G.P. is 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<sup>-n</sup>
17 The sum of n terms of a series is denoted by d n S<sub>n</sub> a<sub>n</sub>
18 The series obtained by adding the terms of an arithmetic sequence is called the Infinite series Harmonic series Geometric series Arithmetic series
19 A number A is called the arithmetic mean between a and b if a, A, b is ______ Arithmetic sequence Geometric sequence Harmonic sequence Arithmetic sequence
20 Write the first four terms of the sequence if an= (-1)nn2 -1, 4, -9, 16 1, -4, 9, 16 1, 4, 9, 16 None of these
21 Write the first four terms of the arithmetic sequence 5, 2, -1, ... is 3 -4 7 1
22 Arithmetic mean between x - 3 and x + 5 is x + 1 x + 2 x + 3 x + 4
23
24 Sum of first n terms of an arithmetic series is
25 The n numbers A1,A2,A3,.....Anare called an arithmetic means between a and b if a.A1,A2,A3.....An, b is ______ An arithmetic series An arithmetic sequence A geometric sequence A harmonic sequence
26 Arithmetic mean between a and b is
27 -2, 1, 4, 7,.... is ______ Harmonic sequence Arithmetic sequence Geometric sequence Arithmetic series
28 The difference of two consecutive terms of an A.P. is called ______ General term Common ratio Common difference None of these
29 The general term of the A.P. is a<sub>1</sub>+ (n - 1) d n + (a<sub>1</sub>- 1) d d + (n - 1) a<sub>1</sub> None of these
30 The general term of a sequence is denoted by a<sub>1</sub> a<sub>n</sub> n s<sub>n</sub>
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