Class 11 Mathematics Sequences and Series MCQs Set 02

Question: A man saves ₹135/- in the first year, ₹150/- in the second year and in this way he increases his savings by ₹15/- every year. In what time will his total savings be ₹5550/-?
a) 20 years
b) 25 years
c) 30 years
d) 35 years
Answer: a

Question: If a, b, c are in G.P. then 1/a²-b² + 1/b² is
a) 1/c² – b²
b) 1/b²-c²
c) 1/c² – a²
d) 1/b²-a²
Answer: b

Question: The value of 3 –1 + 1/3 – 1/9 +……….is equal to:
a) 20/9
b) 9/20
c) 9/4
d) 4/9
Answer: c

Question: The third term of a geometric progression is 4.The product of the first five terms is :
a) 43
b) 45
c) 44
d) 47
Answer: b

Question: Find 4th term from the end of the G.P. 3, 6, 12, 24., ………., 3072.
a) 348
b) 843
c) 438
d) 384
Answer: d

Question: If a, b, c, d, e, f are in A.P., then e – c is equal to:
a) 2(c – a)
b) 2(d – c)
c) 2(f – d)
d) (d – c)
Answer: b

Question: Let a₁, a₂, a₃, ………..be the sequence, then the sum expressed as a₁ + a₂+ a₃ + …… + an is called ……..
a) Sequence
b) Series
c) Finite
d) Infinite
Answer: b

Question: A sequence may be defined as a
a) relation, whose range Í N (natural numbers)
b) function whose range Í N
c) function whose domain Í N
d) progression having real values
Answer: c

Question: The A. M. between two positive numbers a and b is twice the G. M. between them. The ratio of the numbers is
a) (√2 + 3) : (√2 – 3)
b) (2 + √3 ) : (2 – √3 )
c) ( √3 + 1) : ( √3 – 1)
d) None of the options
Answer: b

Question: In an AP. the pth term is q and the (p + q)th term is 0. Then the qth term is
a) – p
b) p
c) p + q
d) p – q
Answer: b

Question: In a G.P. if (m + n)th terms is p and (m – n)th term is q, then mth term is:
a) p/q
b) q/p
c) pq
d) √pq
Answer: d

Question: What is the sum of terms equidistant from the beginning and end in an A.P. ?
a) First term – Last term
b) First term × Last term
c) First term + Last term
d) First term ¸ Last term
Answer: c

Question: If roots of the equation x³ – 12x² + 39 x – 28 = 0 are in AP, then its common difference is
a) ± 1
b) ± 2
c) ± 3
d) ± 4
Answer: c

Question: The fourth, seventh and tenth terms of a G.P. are p, q, r respectively, then :
a) p² = q² + r²
b) q² = pr
c) p² = qr
d) pqr + pq + 1 = 0
Answer: b

Question: For a, b, c to be in G.P. What should be the value of a-b /b-c ?
a) ab
b) bc
c) a/b or b/c
d) None of the options
Answer: c

Question: The product of first nine terms of a GP is, in general, equal to which one of the following?
a) The 9th power of the 4th term
b) The 4th power of the 9th term
c) The 5th power of the 9th term
d) The 9th power of the 5th term
Answer: d

Question: If the pth, qth and rth terms of a G.P. are again in G.P., then which one of the following is correct?
a) p, q, r are in A.P.
b) p, q, r are in G.P.
c) p, q, r are in H.P.
d) p, q, r are neither in A.P. nor in G.P. nor in H.P.
Answer: a

Question: A sequence containing a finite number of terms is called a……………….
a) Finite sequence
b) A.P. sequence
c) G.P. sequence
d) General sequence
Answer: a

Question: If ax = by = cz, where a, b, c are in G.P. and a,b, c, x, y, z ¹ 0; then x, y, z are in:
a) A.P.
b) G..P.
c) H.P
d) None of the options
Answer: c

Question: If 1, a and P are in A. P. and 1, g and P are in G. P., then
a) 1 + 2a + g² = 0
b) 1 + 2a – g² = 0
c) 1 – 2a – g² = 0
d) 1 – 2a + g² = 0
Answer: d