Golden MATHEMATICS CLASS 11>Chapter 9 - Sequence and Series>SELF EVALUATION TEST>Q 8

HARD

11th CBSE

IMPORTANT

Earn 100

In an increasing $G . P$ , the sum of first and last term is $66$ , the product of second and the last but one term is $128$ . If the sum of the series $126$ , find the number of terms of the series?

50% studentsanswered this correctly

Important Questions on Sequence and Series

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 9 - Sequence and Series>OBJECTIVE TYPE QUESTIONS>Q 1

The

40^{th}

term of the series

8, 10 \frac{1}{2}, 13, 15 \frac{1}{2} \dots

is

MEDIUM

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 9 - Sequence and Series>OBJECTIVE TYPE QUESTIONS>Q 2

112

is divided into four parts in Arithmetic Progression such that the product of the extremes is

128

less than the product of the other two. Find the four parts.

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 9 - Sequence and Series>OBJECTIVE TYPE QUESTIONS>Q 3

If the terms

x + 3, 3 x, 3 x + 5

are in

A . P

then the value of

x

is

MEDIUM

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 9 - Sequence and Series>OBJECTIVE TYPE QUESTIONS>Q 4

The first term of an arithmetic progression having all integral terms is the square of the common difference. The sum of the first

4

terms of the arithmetic progression is

54

. Find the common difference.

HARD

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 9 - Sequence and Series>OBJECTIVE TYPE QUESTIONS>Q 5

Ganga increases the speed of her vehicle by

4 km / hr

every

2

minutes. If the speed of her vehicle becomes

44 km / hr

at

2 . p . m .

then at what time the speed will becomes

128 km / hr

?

MEDIUM

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 9 - Sequence and Series>OBJECTIVE TYPE QUESTIONS>Q 6

The sum of

n

terms of the series

\frac{2}{3} + \frac{8}{9} + \frac{26}{27} + \dots .

is

HARD

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 9 - Sequence and Series>OBJECTIVE TYPE QUESTIONS>Q 7

If the sides of a right angled triangle have integral lengths which form an

A . P .,

then one of the sides (length) could be

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 9 - Sequence and Series>OBJECTIVE TYPE QUESTIONS>Q 8

If

8^{th}

,

15^{th}

and

22^{nd}

terms of a G.P are

x, y

and

z

, respectively; then

y

is equal to