JEE Questions for Maths Sequences And Series Quiz 3

The sum of series
Maths-Sequences and Series-47280.png

0%
2 loge 2 +1
0%
2 loge 2
0%
2 loge 2 - 1
0%
loge 2-1

If 0 < y < 2^1/3 and χ (y³ -= 1, then
Maths-Sequences and Series-47282.png

0%
0%
2)
0%
0%

The sum of the series log₉ 3 + log₂₇ 3 – log₈₁ 3 + log₂₄₃ 3 – ...is

0%
1– loge 2
0%
1 + loge 2
0%
loge 3
0%
1 + loge 3

The sum of the infinite series
Maths-Sequences and Series-47289.png

0%
(1/loge 2
0%
(1/ loge 2
0%
(1/loge 2
0%
(1/loge 2

0%
2loge 2 – 2
0%
2 – loge 2
0%
2loge 4
0%
loge 4

0%
logeχy
0%
loge(χ – y)
0%
loge(χ + y)
0%
loge(χ/y)

The coefficient of χⁿ in the expansion of log_a (1 +χ) is

0%
0%
2)
0%
0%

0%
1/4
0%
log3 (3/4)
0%
loge (3/2)
0%
loge (2/3)

In the expansion of 2log_e χ - log_e (χ +- log_e (χ - 1), the coefficient of χ^{- 4} is

0%
1/2
0%
- 1
0%
1
0%
None of these

If e^χ / 1-χ = B₀χ + B₁χ +B₂χ +...+ B_n χⁿ, then the value of B_n - B_n-1 is

0%
1
0%
1/n
0%
1/n!
0%
None of these

For every real number χ,
Maths-Sequences and Series-47304.png

0%
no real solution
0%
exactly one real solution
0%
excatly two real solution
0%
infinite number of real solutions

Let S denotes the sum of the infinite series
Maths-Sequences and Series-47306.png

0%
S < 8
0%
S > 12
0%
8 < S < 12
0%
S = 8

Sum of the series (χ + y) (χ - y) + 1/2!(χ + y)(χ - y)(χ² + y²) + 1/3!(χ + y) (χ - y) (χ⁴ + y⁴ + χ²y²) + ... is

0%
e χ + ey
0%
e χ - ey
0%
e χ2 + ey 2
0%
e χ2 - ey 2

0%
e/4
0%
8e
0%
e/2
0%

The value of
Maths-Sequences and Series-47312.png

0%
6e
0%
5e
0%
4e
0%
None of these

The value of
Maths-Sequences and Series-47314.png

0%
e1/2
0%
e-1
0%
e
0%
e-1/3

The sum of the infinite series
Maths-Sequences and Series-47316.png

0%
0%
2)
0%
0%
0%

The sum of the infinite series
Maths-Sequences and Series-47323.png

0%
e
0%
e2
0%
√e
0%
1/e

In the expansion of
Maths-Sequences and Series-47325.png

0%
0
0%
1
0%
2
0%
None of these

The value of
Maths-Sequences and Series-47327.png

0%
e
0%
2e
0%
3e/2
0%
4e/5

0%
e
0%
e2 + e
0%
e2
0%
e2 - e

0%
e-1/2
0%
e
0%
e/4
0%
e/6

The sum of series
Maths-Sequences and Series-47333.png

0%
0%
2)
0%
0%

0%
e + 1
0%
2)
0%
e - 1
0%
None of these

The value of
Maths-Sequences and Series-47342.png

0%
log 3
0%
log 2
0%
1/2
0%
None of these

The coefficient of χ^k in the expansion of
Maths-Sequences and Series-47344.png

0%
0%
2)
0%
0%
1/k!

If e^{e^χ} – a₀ + a₁χ² +a₂χ²+ ..., then

0%
a0 = 1
0%
a0 = e
0%
a0 = ee
0%
a0 = e2
0%
a0

0%
e-2
0%
e2
0%
e1/2
0%
None of these

The coefficient of χⁿ in the expansion of
Maths-Sequences and Series-47352.png

0%
0%
2)
0%
0%
None of these

0%
2e - 1
0%
2e + 1
0%
6e - 1
0%
6e + 1

If |a| < 1,
Maths-Sequences and Series-47359.png

0%
0%
2)
0%
0%

0%
AP
0%
HP
0%
GP
0%
Both (b) and (c)

Let x₁ , x₂,... x_n be in an AP. x₁ + x₄ + x₉ + x₁₁ + x₂₀ + x₂₂ + x₂₇ + x₃₀ = 272 then x₁ + x₃ + ...+x₃₀ is equal to

0%
1020
0%
1200
0%
716
0%
2720
0%
2072

If the sum of first 75 terms of an AP is 2625, then the 38th term of an AP is

0%
39
0%
37
0%
36
0%
38
0%
35

Let V_r denote the sum of the first r terms of an arithmetic progression (AP), whose first term is r and the common difference is (2r- 1). The sum V₁ + V₂ +... + V_n is

0%
1/12n(n +(3n2 - n +1)
0%
1/12n(n + 1)(3n2 + n + 2)
0%
1/2n(2n2 - n + 1)
0%
1/3(2n3 - 2n + 3)

In an arithmetic progression a₁ , a₂ , a₃ ,..., sum (S) = a₁² - a₂²+a₃² - a₄² + ... - a_2k² is equal to

0%
0%
2)
0%
0%
None of these

If log₁₀ 2, log₁₀(2^χ -and log₁₀(2^χ +are in AP, then χ is equal to

0%
log2 5
0%
log2 (- 1)
0%
log2 (1/5)
0%
log5 2

If 100 times the 100th term of an AP with non-zero common difference equals to 50 times its 50th term, then the 150th tern of an AP is

0%
- 150
0%
150 times its 50th term
0%
150
0%
Zero

Six numbers are in an AP such that their sum is 3. The first term is 4 times the third term. Then, the fifth term is

0%
- 15
0%
- 3
0%
9
0%
- 4

Let a_n be the nth term of an AP. If
Maths-Sequences and Series-47376.png

0%
0%
α - β
0%
0%
β - α

If the numbers a, b, c, d and e are form of an AP with a = 1, then a - 4b + 6c - 4d + e is equal to

0%
1
0%
2
0%
0
0%
3

The first four terms of an AP are a, 9, 3a - b, 3a + b. The 2011 th term of an AP is

0%
2015
0%
4025
0%
5030
0%
8045
0%
6035

If S₁, S₂ and S₃ are the sum of n, 2n and 3n terms respectively of an arithmetic progression, then

0%
S3 = 2(S1 + S2 )
0%
s3 = s1 + S2
0%
S3 = 3(S2 - S1)
0%
S3 = 3(S2 + S1)

A person is to count 4500 currency notes. Let an denotes the number of notes he counts in the nth minute. If a₁ = a₂ = ... = a₁₀ = 150 and a₁₀, a₁₁,.... are in AP with common difference - 2 , then the time taken by him to count all notes, is

0%
24 min
0%
34min
0%
125min
0%
135min

If the sum to first n terms of an AP 2, 4, 6, ... is 240, then the value of n is

0%
14
0%
15
0%
16
0%
17
0%
18

The arithmetic mean of 7 consecutive integers starting with a is m. Then, the arithmetic mean of 11 consecutive integers starting with a + 2 is

0%
2a
0%
2m
0%
a + 4
0%
m + 4

The sum of all two digit natural numbers which leave a remainder 5 when they are divided by 7 is equal to

0%
715
0%
702
0%
615
0%
602
0%
589

An AP consists of 23 terms. If the sum of the three terms in the middle is 141 and the sum of the last three terms is 261, then the first term is

0%
6
0%
5
0%
4
0%
3
0%
2

If the sum of first n terms of an AP is cn², then the sum of squares of these n terms is

0%
0%
2)
0%
0%

0%
5
0%
6
0%
9
0%
12

JEE Questions for Maths Sequences And Series Quiz 3 - MCQExams.com

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Practice Maths Quiz Questions and Answers

JEE Questions for Maths Sequences And Series Quiz 3 - MCQExams.com

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Practice Maths Quiz Questions and Answers

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