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IMPORTANT

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Let $a_{1}, a_{2}, a_{3}, \dots, a_{4001}$ is an $A . P .$ such that $\frac{1}{a_{1} a_{2}} + \frac{1}{a_{2} a_{3}} + \dots + \frac{1}{a_{4000} a_{4001}} = 10$ and $a_{1} + a_{4001} = 50$ , then $|a_{1} - a_{4001}|$ is equal to

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Important Questions on Progression and Series

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 4 - Progression and Series>DPP>Q 12

A . P .

consist of even number of terms

2 n

having middle terms equal to

1

and

7

, respectively. If

n

is the maximum value which satisfy

t_{1} t_{2 n} + 713 \geq 0

, then the value of the first term of the series is

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Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 4 - Progression and Series>DPP>Q 13

If the sum of the first

100

terms of an

A . P .

- 1

and the sum of even terms lying in first

100

terms is

1,

then which of the following is not true?

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Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 4 - Progression and Series>DPP>Q 14

Given the sequence of numbers

x_{1}, x_{2}, x_{3}, x_{4}, \dots, x_{2005}

which satisfy

\frac{x_{1}}{x_{1} + 1} = \frac{x_{2}}{x_{2} + 3} = \frac{x_{3}}{x_{3} + 5} = \dots = \frac{x_{2005}}{x_{2005} + 4009}

, the nature of the sequence is

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Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 4 - Progression and Series>DPP>Q 1

b - c, b x - c y, b x^{2} - c y^{2} (b, c \neq 0)

are in

G . P .

, then the value of

(\frac{b x + c y}{b + c}) (\frac{b x - c y}{b - c})

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 4 - Progression and Series>DPP>Q 2

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

are in

G . P .,

where

a_{i} \in C

(where

C

stands for set of complex numbers) having

r

as common ratio such that

\sum_{k = 1}^{n} a_{2 k - 1} = \sum_{k = 1}^{n} a_{2 k + 3} \neq 0

, then the number of possible values of

r

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Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 4 - Progression and Series>DPP>Q 3

a, b, c

are real numbers forming an

A . P .

and

3 + a, 2 + b, 3 + c

, are in

G . P .,

then minimum value of

a c

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Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 4 - Progression and Series>DPP>Q 4

a, b, c, d

are in increasing

G . P .

, if the

A . M .

between

a

and

b

6

and the

A . M .

between

c

and

d

54

, then the

A . M .

a

and

d

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IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 4 - Progression and Series>DPP>Q 5

The numbers

a, b, c

are in A.P. and

a + b + c = 60

. The numbers

(a - 2), b, (c + 3)

are in G.P., then which of the following is not the possible value of

a^{2} + b^{2} + c^{2} ?

Let a1, a2, a3,…,a4001 is an A.P. such that 1a1a2+1a2a3+…+1a4000a4001=10 and a1+a4001=50, then a1-a4001 is equal to

Important Questions on Progression and Series

Learn and Prepare for any exam you want !

Let $a_{1}, a_{2}, a_{3}, \dots, a_{4001}$ is an $A . P .$ such that $\frac{1}{a_{1} a_{2}} + \frac{1}{a_{2} a_{3}} + \dots + \frac{1}{a_{4000} a_{4001}} = 10$ and $a_{1} + a_{4001} = 50$ , then $|a_{1} - a_{4001}|$ is equal to