EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Sequence and Series>KEAM 2020>Q 2

EASY

KEAM

IMPORTANT

Earn 100

The numbers $a_{1}, a_{2}, a_{3}, \dots$ form an arithmetic sequence with $a_{1} \neq a_{2}$ . The three numbers $a_{1}, a_{2}$ and $a_{6}$ form a geometric sequence in that order. Then the common difference of the arithmetic sequence is

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Important Questions on Sequence and Series

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KEAM

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Sequence and Series>KEAM 2020>Q 3

In an arithmetic sequence, the sum of first and third terms is

6

and the sum of second and fourth terms is

20

. Then the

11^{th}

term is

EASY

KEAM

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Sequence and Series>KEAM 2020>Q 4

In an A.P., the first term is

3

and the last term is

17

. The sum of all the terms in the sequence is

70

. Then the number of terms in the arithmetic sequence is

EASY

KEAM

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Sequence and Series>KEAM 2020>Q 5

If

p, q

and

23

is an increasing arithmetic sequence and

p

and

q

are prime numbers, then

p + q =

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KEAM

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Sequence and Series>KEAM 2019>Q 6

If an

AP, a_{7} = 9

if

a_{1} a_{2} a_{7}

is least, the common difference is

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KEAM

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Sequence and Series>KEAM 2018>Q 7

In an arithmetic progression, if the

k^{t h}

term is

5 k + 1

,

then the sum of first

100

terms is

EASY

KEAM

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Sequence and Series>KEAM 2020>Q 8

The

5^{th}

and

7^{th}

term of a G.P. are

12

and

48

respectively. Then the

9^{th}

term is

EASY

KEAM

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Sequence and Series>KEAM 2019>Q 9

Let

\{a_{n}\}

be a

G P

such that

\frac{a_{4}}{a_{6}} = \frac{1}{9}

and

a_{2} + a_{5} = 1

then first term is

MEDIUM

KEAM

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Sequence and Series>KEAM 2019>Q 10

If

m_{1}, m_{2}, m_{3} \dots m_{20}

are

AMs

between

13

and

67,

then maximum value of

m_{1} m_{2} m_{3} \dots m_{20}

is