Given that, x + y + z = 15 , where a , x , y , z and b are in A P and 1 x + 1 y + 1 z = 5 3 , where a , x , y , z and b are in H P . Then,

one possible value of a + 2 b is 10

EASY

JEE Main Paper 2A- B.Arch

IMPORTANT

Earn 100

If three positive real numbers $a, b$ and $c$ are in $A P,$ with $a b c = 64,$ then minimum value of $b,$ is

76.99% studentsanswered this correctly

Important Questions on Sequence and Series

EASY

JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 12 - Sequence and Series>EXERCISE>Q 5

Three numbers are in

G P .

Whose sum is

70 .

If the extremes be each multiplied by

4

and the mean by

5,

they will be in

A P .

Then, the sum of numbers is

EASY

JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 12 - Sequence and Series>EXERCISE>Q 6

5^{1 + x} + 5^{1 - x}, \frac{a}{2}

and

25^{x} + 25^{- x}

are three consecutive terms of an

A P,

then the values of

a

are given by

MEDIUM

JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 12 - Sequence and Series>EXERCISE>Q 7

If the sum to infinity of the series

1 + 4 x + 7 x^{2} + 10 x^{3} + \dots

\frac{35}{16}

. Then, the value of

x

MEDIUM

JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 12 - Sequence and Series>EXERCISE>Q 8

Given that,

x + y + z = 15,

where

a, x, y, z

and

b

are in

A P

and

\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = \frac{5}{3},

where

a, x, y, z

and

b

are in

H P .

Then,

EASY

JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 12 - Sequence and Series>EXERCISE>Q 9

A number consists of three digits in

G P .

The sum of the right hand and left hand digits exceeds twice the middle digit by

1

and the sum of the left hand and middle digits is two third of the sum of the middle and right hand digits. Then, the number is

EASY

JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 12 - Sequence and Series>EXERCISE>Q 10

x + y + z = 1

and

x, y

and

z

are positive numbers such that

(1 - x) (1 - y) (1 - z) \geq k x y z,

then

k

is equal to

EASY

JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 12 - Sequence and Series>EXERCISE>Q 11

If the roots of the equation

x^{3} - 12 x^{2} + 39 x - 28 = 0

are in

A P,

then the common difference will be

MEDIUM

JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 12 - Sequence and Series>EXERCISE>Q 12

The maximum sum of the series

20 + 19 \frac{1}{3} + 18 \frac{2}{3} + 18 + \dots

If three positive real numbers a, b and c are in AP, with abc=64, then minimum value of b, is

Important Questions on Sequence and Series

Learn and Prepare for any exam you want !

If three positive real numbers $a, b$ and $c$ are in $A P,$ with $a b c = 64,$ then minimum value of $b,$ is