JEE Questions for Maths Sequences And Series Quiz 6 - MCQExams.com


Maths-Sequences and Series-47593.png
  • A.P
  • G.P
  • H.P
  • None of these
If x, 1, z are in A.P and x, 2, z are in G.P the x. 4, z will be in
  • A.P
  • G.P
  • H.P
  • None of these
If a,b,c are in A.P. b,c,d are in G.P and c,d,e are in H.P., then a,c,e are in
  • No particular order
  • A.P
  • G.P
  • H.P
If a,b,c are in G.P ., a - b, c - a, b - c are in H.P., then a + 4b + c is equal to
  • 0
  • 1
  • –1
  • None of these
Given ax = by = cz = du and a,b,c,d are in G.P., then x,y,z,u are in
  • A.P
  • G.P
  • H.P
  • None of these
If p,q,r are in G.P and tan-1p, tan-1q, tan-1r are in A.P., then p,q,r are satisfies the relation
  • p = q = r
  • p ≠ q ≠ r
  • p + q = r
  • None of these
If a,b,c are in A.P., then 3a, 3b, 3c shall be in
  • A.P
  • G,P
  • H.P
  • None of these
If G.M = 18 and A.M = 27, then H.M is

  • Maths-Sequences and Series-47601.png
  • 2)
    Maths-Sequences and Series-47602.png
  • 12

  • Maths-Sequences and Series-47603.png
If the pth,qth and rth term of a G.P and H.P., are a,b,c then a(b - c) log a + b(c - a) log b + c(a - b)log c =
  • –1
  • 0
  • 1
  • Does not exit
If a, b, c are in A.P. and a2, b2, c2 are in H.P., then
  • a = b = c
  • 2b = 3a + c

  • Maths-Sequences and Series-47606.png
  • None of these
In the four numbers first three are in G.P. and last three are in A.P. Whose common difference is 6. If the first and last numbers are same, then first will be
  • 2
  • 4
  • 6
  • 8

Maths-Sequences and Series-47609.png
  • A.P
  • G.P
  • H.P
  • None of these
If the ratio of two numbers be 9 : 1, then the ratio of geometric and harmonic means between them will be
  • 1 : 9
  • 5 : 3
  • 3 : 5
  • 2 : 5
An A.P., a G.P. and a H.P. have the same the first and last terms and the same odd number of terms. The middle terms of the three series are in
  • A.P
  • G.P
  • H.P
  • None of these
If a,b,c be in G.P and a + x, b + x, c + x, in H.P ., then the value of x is (a,b,c, are distinct numbers)
  • c
  • b
  • a
  • None of these

Maths-Sequences and Series-47614.png
  • A.P
  • G.P
  • H.P
  • None of these
If all the terms of an A.P are squared , then new series will be in
  • A.P
  • G.P
  • H.P
  • None of these
If 2(y – a) is the H.M between y – x and y – z, then x – a, y – a, z – a are in
  • A.P
  • G.P
  • H.P
  • None of these
If logx y, logz x, logyz are in G.P. xyz = 64 and x3, y3, z3 are in A.P., then
  • x = y = z
  • x = 4
  • x, y, z are in G.P
  • All of these
The geometric mean of two numbers is 6 and their arithmetic mean is 6.5 the numbers are
  • (3, 12)
  • (4, 9)
  • (2, 18)
  • (7, 6)
If A.M of two terms is 9 and H.M is 36, then G.M will be
  • 18
  • 12
  • 16
  • None of these
If xa = xb/2 zb/2 = zc, then a, b, c are in
  • A.P
  • G.P
  • H.P
  • None of these
If the A.M., G.M and H.M between two positive numbers a and b are equal, then
  • a = b
  • ab = 1
  • a > b
  • a < b

Maths-Sequences and Series-47621.png
  • 72
  • 54
  • 36
  • None of these
log3 2, log6 2, log12 2 are in
  • A.P
  • G.P
  • H.P
  • None of these
If ax = by = cz and a, b, c are in G.P ., then x, y, z are in
  • A.P
  • G.P
  • H.P
  • None of these
If a1/x = b1/y = c1/z and a, b, c are in geometrical progression, then x, y, z are in
  • A.P
  • G.P
  • H.P
  • None of these
If p, q, r are in one geometric progression and a, b, c in another geometric progression, then cp, bq, ar are in
  • A.P
  • H.P
  • G.P
  • None of these
The common difference of an A.P whose first term is unity and whose second, tenth and thirty fourth terms are in G.P ., is

  • Maths-Sequences and Series-47627.png
  • 2)
    Maths-Sequences and Series-47628.png

  • Maths-Sequences and Series-47629.png

  • Maths-Sequences and Series-47630.png
Let the positive numbers a,b,c,d be in A.P., then abc, abd, acd, bcd are
  • Not in A.P/G.P/H.P
  • In A.P
  • In G.P
  • In H.P

Maths-Sequences and Series-47633.png
  • A.P
  • G.P
  • H.P
  • None of these
If A is the A.M of the roots of the equation x2 – 2ax + b = 0 and G is the G.M of the roots of the equation x2 – 2bx + a2 = 0, then
  • A > G
  • A ≠ G
  • A = G
  • None of these
If A and G are arithmetic and geometric and means and x2 – 2Ax + G2 = 0 , then
  • A = G
  • A > G
  • A < G
  • A = – G
If In (a + c), In (c – a), In (a – 2b + c) are in A.P., then
  • a,b,c are in A.P
  • a2, b2, c2 are in A.P
  • a, b, c are in G.P
  • a, b, c are in H.P
If the altitudes of a triangle are in A.P., then the sides of the triangle are in
  • A.P
  • H.P
  • G.P
  • Arithmetico-geometric progression
If a,b,c are in G.P then loga x, logb x, loge x are in
  • A.P
  • G.P
  • H.P
  • None of these
If a,b,c are three unequal numbers such that a, b, c are in A.P and b – a, c – d, a are in G.P., then a : b : c is
  • 1 : 2 : 3
  • 2 : 3 : 1
  • 1 : 3 : 2
  • 3 : 2 : 1
If (y – x), 2(y – a) and (y – z) are in H.P., then x – a, y – a, z – a are in
  • A.P
  • G.P
  • H.P
  • None of these
The difference between two numbers is 48 and the difference between their arithmetic mean and their geometric mean is 18. Then the greater of two numbers is
  • 96
  • 60
  • 54
  • 49
G.M and H.M of two numbers are 10 and 8 respectively.The numbers are
  • 5, 20
  • 4, 25
  • 2, 50
  • 1, 100

Maths-Sequences and Series-47644.png
  • H.P
  • G.P
  • A.P
  • None of these
If the 9th term of an A.P be zero, then the ratio of its 29th and 19th term is
  • 1 : 2
  • 2 : 1
  • 1 : 3
  • 3 : 1
Which term of the sequence (–8 + 18i), (–6 + 15i),(–4 + 12i) ........ is purely imaginary
  • 5th
  • 7th
  • 8th
  • 6th
If the nth term of an A.P be (2n – 1), then the sum of its first n terms will be
  • n2 – 1
  • (2n – 1)2
  • n2
  • n2 + 1
The number of terms in the series 101 + 99 + 97 + ... + 47 is
  • 25
  • 28
  • 30
  • 20
If the pth term of an A.P be q and qth term be p, then its rth term will be
  • p + q + r
  • p + q – r
  • p + r – q
  • p – q – r
If tan nθ = tan mθ, then the different values of θ will be in
  • A.P
  • G.P
  • H.P
  • None of these
The sum of integers from 1 to 100 that are divisible by 2 or 5 is
  • 3000
  • 3050
  • 4050
  • None of these
If mth terms of the series 63 + 65 + 67 + 69 + .... and 3 + 10 + 17 + 24 + ... be equal , then m =
  • 11
  • 12
  • 13
  • 15

Maths-Sequences and Series-47654.png
  • 300
  • 2)
    Maths-Sequences and Series-47655.png

  • Maths-Sequences and Series-47656.png
  • None of these
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