EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Sequences and Series>JEE Main - 12th April 2019 Shift 2>Q 90

MEDIUM

JEE Main

IMPORTANT

Earn 100

If $a_{1}, a_{2}, a_{3}, . . . .$ are in A.P. such that $a_{1} + a_{7} + a_{16} = 40,$ then the sum of the first $15$ terms of this A.P is

71.97% studentsanswered this correctly

Important Questions on Sequences and Series

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Sequences and Series>JEE Main - 12th January 2019 Shift 1>Q 91

Let

S_{k} = \frac{1 + 2 + 3 + \dots + k}{k}

. If

S_{1}^{2} + S_{2}^{2} + \dots + S_{10}^{2} = \frac{5}{12} A

, then

A

is equal to :

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Sequences and Series>JEE Main - 12th January 2019 Shift 1>Q 92

The product of three consecutive terms of a

G . P .

is

512

. If

4

is added to each of the first and the second of these terms, the three terms now form an

A . P .

, then the sum of the original three terms of the given

G . P .

is :

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Sequences and Series>JEE Main - 12th January 2019 Shift 2>Q 93

If

^{n} C_{4},^{n} C_{5}

and

^{n} C_{6}

are in A.P., then

n

can be

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Sequences and Series>JEE Main - 12th January 2019 Shift 2>Q 94

If the sum of the first

15

terms of the series

{(\frac{3}{4})}^{3} + {(1 \frac{1}{2})}^{3} + {(2 \frac{1}{4})}^{3} + 3^{3} + {(3 \frac{3}{4})}_{}^{3} + \dots

is equal to

225 K

, then

K

is equal to :

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Sequences and Series>JEE Main - 8th April 2018>Q 95

Let $A$ be the sum of the first $20$ terms and $B$ be the sum of the first $40$ terms of the series

$1^{2} + {2 \cdot 2}^{2} + 3^{2} + {2 \cdot 4}^{2} + 5^{2} + {2 \cdot 6}^{2} + \dots$

If $B - 2 A = 100 λ,$ then $λ$ is equal to :

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Sequences and Series>JEE Main - 8th April 2018>Q 96

Let

a_{1}, a_{2}, a_{3}, \dots \dots, a_{49}

be in

A . P .

such that

Σ_{k = 0}^{12} a_{4 k + 1} = 416

and

a_{9} + a_{43} = 66 .

If

a_{1}^{2} + a_{2}^{2} + \dots + a_{17}^{2} = 140 m,

then

m

is equal to:

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Sequences and Series>JEE Main - 15th April 2018>Q 97

If

b

is the first term of an infinite geometric progression whose sum is five, then

b

lies in the interval

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Sequences and Series>JEE Main - 15th April 2018>Q 98

If

x_{1}, x_{2}, \dots . ., x_{n}

and

\frac{1}{h_{1}}, \frac{1}{h_{2}}, \dots . ., \frac{1}{h_{n}}

are two A.P.s such that

x_{3} = h_{2} = 8 & x_{8} = h_{7} = 20

, then

x_{5} \cdot h_{10}

is equal to