# 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. -1
2. 0
3. 1
4. None

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 _____.

1. 2
2. 3
3. 4
4. None

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

1. (n/2)(4n2+5n-1)
2. n(4n2+5n-1)
3. (n/2)(4n2-5n-1)
4. None

Q:4 The sum of n terms of the series 2.32+5.42+8.52+… is

1. (n/12)(9n3+62n2+123n+22)
2. (n/12)(9n3-62n2+123n-22)
3. (n/6)(9n3+62n2+123n+22)
4. None

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

1. n(n+1)2
2. n(n-1)2
3. n(n2-1)
4. None

Q:6 If 1+a+a2+….. ∞ =x and 1+b+b2+….∞ =y then 1+ab+a2b2+…∞ is given by

1. (xy)/(x+y-1)
2. (xy)/(x-y-1)
3. (xy)/(x+y+1)
4. None

Q:7 If S1,S2,S3,…..Sn 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 S1+S2+S3+…Sn is

1. (n/2)(n+3)
2. (n/2)(n+2)
3. (n/2)(n+1)
4. n2/2

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

1. 8
2. 5
3. 3
4. None

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 ________.

1. 10,8,32/5,…..
2. 10,8,5/2,…..
3. 10,10/3,10/9……..
4. None

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 ________.

1. 16,4
2. 4,16
3. both
4. none