JEE Questions for Maths Sequences And Series Quiz 7 - MCQExams.com

If 2x ,x + 8, 3x + 1 are in A.P. then the value of x will be
  • 3
  • 7
  • 5
  • – 2
If the sum of n terms of an A.P is nA + n2B, where A,B are constant, then its common difference will be
  • A – B
  • A + B
  • 2A
  • 2B
If a,b,c be in arithmetic progression, then the value of (a + 2b – c) (2b + c – a)(a + 2b + c) is
  • 16 abc
  • 4 abc
  • 8 abc
  • 3 abc

Maths-Sequences and Series-47661.png
  • 1
  • 2
  • 3
  • 4

Maths-Sequences and Series-47663.png
  • 2
  • 3
  • 4
  • 2,3
If nth terms of two A.P\'s are 3n + 8 and 7n + 15, then the ratio of their 12th terms will be
  • 4/9
  • 7/16
  • 3/7
  • 8/15
If a1 = a2 = 2, an = an – 1 – 1(n > 2), then a5 is
  • 1
  • –1
  • 0
  • –2
If twice the 11th term of an A.P is equal to 7 times of its 21st term, then its 25th term is equal to
  • 24
  • 120
  • 0
  • None of these
If p times the pth term of an A.P is equal to q times the qth term of an A.P. the n(p + q)th term is
  • 0
  • 1
  • 2
  • 3
The sum of n terms of two arithmetic series are in the ratio 2n + 3 : 6n + 5, then the ratio of their 13th terms is
  • 53 : 155
  • 27 : 77
  • 29 : 83
  • 31 : 89
The first term of an A.P is 2 and common difference is 4.The sum of its 40 terms will be
  • 3200
  • 1600
  • 200
  • 2800
The ratio of the sums of first n even number and n odd number will be
  • 1 : n
  • (n +: 1
  • (n +: n
  • (n –: 1
If the sum of the series 2 + 5 + 8 + 11 .... is 60100, then the number of terms are
  • 100
  • 200
  • 150
  • 250
The sum of all natural numbers between 1 and 100 which are multiples of 3 is
  • 1680
  • 1683
  • 1681
  • 1682
The sum of 1 + 3 + 5 + 7 + ....... upto n terms is
  • (n + 1)2
  • (2n)2
  • n2
  • (n – 1)2
If the sum of n terms of an A.P is 2n2 + 5n, then the nth term will be
  • 4n + 3
  • 4n + 5
  • 4n + 6
  • 4n + 7
The nth term of an A.P is 3n – 1. Choose from the following the sum of its first five terms
  • 14
  • 35
  • 80
  • 40
If the first term of an A.P be 10, last is 50 and the sum of all the terms is 300, then the number of terms are
  • 5
  • 8
  • 10
  • 15

Maths-Sequences and Series-47678.png
  • 310
  • 300
  • 320
  • None of these
The difference between an integer and its cube is divisible by
  • 4
  • 6
  • 9
  • None of these

Maths-Sequences and Series-47681.png
  • 1
  • 2
  • 3
  • 4
If the numbers a, b, c, d, e form an A.P with a = 1, then a – 4b + 6c – 4d + e =
  • 1
  • 2
  • 0
  • 3
The sum of the integers from 1 to 100 which are not divisible by 3 or 5 is
  • 2489
  • 4735
  • 2317
  • 2632
The sum of the first and third term of an arithmetic progression is 12 and the product of first and second term is 24, then first term is
  • 1
  • 8
  • 4
  • 6
If the sum of the first 2n terms of A.P 2,5,8,... is equal to the sum of the first n terms of A.P 57,59,61,...., then n is equal to
  • 10
  • 12
  • 11
  • 13
The sum of numbers from 250 to 1000 which are divisible by 3 is
  • 135657
  • 136557
  • 161575
  • 156375
7th term of an A.P is 40, then the sum of first 13 terms is
  • 53
  • 520
  • 1040
  • 2080
If sum of n terms of an A.P is 3n2 + 5n and Tm = 164 then m is equal to
  • 26
  • 27
  • 28
  • None of these
The number of terms of the A.P. 3,7,11,15.... to be taken so that the sum is 406 is
  • 5
  • 10
  • 12
  • 14
There are 15 terms in an arithmetic progression. Its first term is 5 and their sum is 390. The middle term is
  • 23
  • 26
  • 29
  • 32
If the sum of the 10 terms of an A.P. is 4 times to the sum of its 5 terms, then the ratio of first term and common difference is
  • 1 : 2
  • 2 : 1
  • 2 : 3
  • 3 : 2
Three number are in A.P such that their sum is 18 and sum of their squares is 158. The greatest number among them is
  • 10
  • 11
  • 12
  • None of these
If A be an arithmetic mean between two numbers and S be the sum of n arithmetic means between the same numbers, then
  • S = nA
  • A = nS
  • A = S
  • None of these
If f (x + y, x - y) = xy then the arithmetic mean of f (x,y) and f (y,x) is
  • x
  • y
  • 0
  • 1
If log 2, log(2n –and log(2n +are in A.P. then n =
  • 5/2
  • log2 5
  • log3 5
  • 3/2
If the sides of a right angled triangle are in A.P then the sides are proportional to
  • 1 : 2 : 3
  • 2 : 3 : 4
  • 3 : 4 : 5
  • 4 : 5 : 6
Three numbers are in A.P. whose sum is 33 and product is 792, then the smallest number from these numbers is
  • 4
  • 8
  • 11
  • 14
If a, b, c, d, e, f are in A.P., then the value of e – c will be
  • 2(c – a)
  • 2(f – d)
  • 2(d – c)
  • d – c
The four arithmetic means between 3 and 23 are
  • 5,9,11,13
  • 7,11,15,19
  • 5,11,15,22
  • 7,15,19,21

Maths-Sequences and Series-47702.png
  • A G.P
  • An A.P
  • A H.P
  • Both a G.P and a H.P
Let α andβ are the roots of the equation pχ2 + qχ + r = 0, p ≠ 0. If p, q and r are in AP and
Maths-Sequences and Series-47704.png
  • √61/9
  • 2√17/9
  • √34/9
  • 2√13/9
In a triangle, the lengths of two larger sides are 10 cm and 9 cm. If the angles of the triangle are in AP, then the length of the third side is
  • √5 - √6
  • √5 + √6
  • √5 ± √6
  • 5 ± √6
Let a1 , a2 , a3..., a100 be an arithmetic progression with a1 = 3 and
Maths-Sequences and Series-47707.png
  • 3 or 9
  • 2 or 4
  • 4 or 16
  • None of these
A man saves RS 200 in each of the first three months of his service. In each of the subsequent months, his saving increases by RS 40 more than the saving of immediately previous month. His total saving from the start of service will be RS 11040 after
  • 19 months
  • 20 months
  • 21 months
  • 18 months
If sum of the series
Maths-Sequences and Series-47710.png
  • S2
  • S2/(2S + 1)
  • 2S/(S2 - 1)
  • S2/(2S - 1)
In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then, the common ratio of this progression equals
  • 1/2(1 - √5)
  • 1/2(√5)
  • √5
  • 1/2(√5 - 1)
If a1, a2, a3,...are in a harmonic progression with a1 = 5 and a20 = 25. The least positive integer n for which an < 0 is
  • 22
  • 23
  • 24
  • 25
If the 7th term of HP is 1/10 and the 12th term is 1/25, then the 20th term is
  • 1/41
  • 1/45
  • 1/49
  • 1/37
If a1, a2, a3,...,a are in HP, then the expression a1a2 + a2a3 + ...+an-1an is equal to
  • (n -(a1 - an)
  • na1an
  • (n - 1)a1an
  • n(a1 - an)
If AM and HM between two numbers are 27 and 12 respectively, then their GM is
  • 9
  • 18
  • 24
  • 36
0:0:1


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