### Mathematics Sequences and Series MCQS Online Preparation Sample Paper Questions with Answer

Comprehension of numerical patterns and progressions is tested through Mathematics Sequences and Series MCQs. These types of questions are commonly seen in exams such as the ECAT (Engineering College Admission Test) and they revolve around topics like arithmetic and geometric sequences, series summation, and convergence tests. Nokryan.com, an online platform, provides resources for comprehensive preparation, including sample papers, practice questions, and detailed answers. These materials assist students in mastering Sequences and Series concepts, ensuring their readiness for success in the mathematics section of the ECAT.

1. Sum of n term of a G.P is

**2ab/ a + b**

correct- A+ b/2
- n/2[2a + (n-1)d]
- A(1-r)/1-r

2. if a, d and Sn are the first terms , the common difference and the sum of first n terms of the series , then Sn =

- n/2[a + (n-1)d]
- a + (n-1)d
- n/2[2a + (n-1)d]
**correct** - n[2a + (n-1)d]

3. the common ratio of a geometric sequence cannot be

- 3
- 0
**correct** - 2
- 1

4. A function whose domain is the set of natural numbers is called the

- Series
- Identity function
- Sequence
**correct** - Onto function

5. the second term of the sequence with general term n2-4/2 is

- 3
- 1
- 0
**correct** - -3

6. the A.P whose nth term is 2n-1 is

- 2,3,5…
**correct** - 5,3,1…,
- 1,3,5….
- 1,3,6….

7. if n is total number of arithmetic means between a and b .the formula of mth arithmetic mean between a and b is

- a +m(a-b)/n+1
- a +n(b-a)/n+1
- none of these
- a +m(b-a)/n+1
**correct**

8. the fifth term and the nth term of the A.P. 1,5….are

- 17,4n-3
**correct** - 17,4n
- 17,3n-4
- 4n-3,17

9. The difference of two consecutive terms of an arithmetic sequence is called its:

- Common ratio
- Arithmetic mean
- Common difference
**correct** - Geometric mean

10. The next two terms of the sequence 1,3,7,15,31,…… are

- 102, 188
- 112, 144
- None of these
**correct** - 112, 228

11. A number A is said to be the arithmetic mean between two number a and b if a ,A, b is

- Not a sequence
- G P
- A sequence
- A.P
**correct**

12. A1 A2,…., An are said to be n arithmetic means between a and b if a, A1 A2,…., An ,b is

- A sequence
- Not a sequence
- G P
- A.P
**correct**

13. the arithmetic mean between a and b is

- a +b/ 2
**correct** - ±√ab
- a -b/ 2
- b –a/2

14. The series obtained by adding the terms of an arithmetic sequence is called the

- Infinite series
- Harmonic series
- Arithmetic
**correct** - Geometric series

15. the 7th tern of an arithmetic sequence whose first term is 2 and common difference is zero is

- 0
- 2
- 7
**correct** - 14

16. the common difference of the sequence 5,8,11,14,…..is

- 3
**correct** - -3
- 0
- 1

17. A sequence in which any term minus its immediate previous term gives a constant is called the

- Arithmetic sequence
**correct** - Complex sequence
- Harmonic sequence
- Geometric sequence

18. A sequence in which any term divided by its immediate previous term is called the

- Common Ratio
**correct** - Arithmetic mean
- Mean common
- Arithmetic progression

19. 2,4,6,8,10,12,….. is

- G.P
- A.P
- Arithmetic series
**correct** - Geometric series

20. the general term of a sequence is denoted by

- an
- na
- sn
**correct** - n

21. nth term of A.P. is

- a1 + (n – 1) d
**correct** - none of these
- a + nd
- a + d/n

22. 1,8,15,22,29,36,…. Is

- Geometric series
- Arithmetic series
- A.P
**correct** - G.P

23. the nth of an A.P is ½(3-n) ,the first three terns are

- 3,2,1
- 1,2,1
- 1,1/2,0
**correct** - 1,2,3

24. the arithmetic mean between 2+√2 and 2-√2 is

- 2
**correct** - 4
- 0
- √2

25. A sequence in which any term divided by its immediate previous term gives a constant is called the

- Real sequence
- Complex sequence
- Geometric sequence
**correct** - Arithmetic sequence