# MCQ for CA Foundation Maths Chapter 6 SEQUENCE AND SERIES – AP & GP

Sample **Multiple Choice Questions (MCQ's) for ****CA Foundation - Paper 3 - Business Mathematics and Logical Reasoning & Statistics - Chapter 6 SEQUENCE AND SERIES – AP & GP **- For Practice relevant for Dec 22 and May/June 23 Examinations

**Q:1 ** **Find the number which should be added to the sum of any number of terms of the A.P. 3, 5,7,9, 11...resulting in a perfect square.**

- -1
- 0
- 1
- None

**Answer**: 3

**Q:2 ** **If the n terms of two A.P.s are in the ratio (3n+4) : (n+4) the ratio of the fourth term Is _____.**

- 2
- 3
- 4
- None

**Answer**: 1

**Q:3 ** **The sum of n terms of 1.4,3.7,5.10 …… is**

- (n/2)(4n
^{2}+5n-1) - n(4n
^{2}+5n-1) - (n/2)(4n
^{2}-5n-1) - None

**Answer**: 1

**Q:4 ****The sum of n terms of the series 2.3 ^{2}+5.4^{2}+8.5^{2}+… is**

- (n/12)(9n
^{3}+62n^{2}+123n+22) - (n/12)(9n
^{3}-62n^{2}+123n-22) - (n/6)(9n
^{3}+62n^{2}+123n+22) - None

**Answer**: 1

**Q:5 ****The sum of n terms of the series 4+14+30+52+80+… is**

- n(n+1)
^{2} - n(n-1)
^{2} - n(n
^{2}-1) - None

**Answer**: 1

**Q:6 ****If 1+a+a ^{2}+….. ∞ =x and 1+b+b^{2}+….∞ =y then 1+ab+a^{2}b^{2}+…∞ is given by**

- (xy)/(x+y-1)
- (xy)/(x-y-1)
- (xy)/(x+y+1)
- None

**Answer**: 1

**Q:7 ****If S _{1},S_{2},S_{3},…..S_{n} are the sums of infinite GPs whose first terms are 1,2,3 …. N and whose common ratios are ½,1/3,…1/(n+1) then the value of S_{1}+S_{2}+S_{3}+…S_{n }is**

- (n/2)(n+3)
- (n/2)(n+2)
- (n/2)(n+1)
- n
^{2}/2

**Answer**: 1

**Q:8 ****How many terms of the GP 1,4,16,…. are to be taken to have their sum 341? **

- 8
- 5
- 3
- None

**Answer**: 2

**Q:9 ****If the term term of a GP exceeds the second term by 2 and the sum to infinity is 50 the series is ________.**

- 10,8,32/5,…..
- 10,8,5/2,…..
- 10,10/3,10/9……..
- None

**Answer**: 1

**Q:10 **** ****The numbers x, 8, y are in G.P. and the numbers x, y, -8 are in A.P. The values of x, y are ________.**

- 16,4
- 4,16
- both
- none

**Answer**: 1

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