MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 7 - Sequence and Series>Critical Thinking>Q 41

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IMPORTANT

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The sum of the first $10$ terms of the series $\sqrt{2} + \sqrt{6} + \sqrt{18} + \dots$ is

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Important Questions on Sequence and Series

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MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 7 - Sequence and Series>Critical Thinking>Q 42

Sum of

n

terms of the series

\frac{1}{2} + \frac{3}{4} + \frac{7}{8} + \frac{15}{16} + \dots

is equal to

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 7 - Sequence and Series>Critical Thinking>Q 43

For a

G . P .

whose

4^{th}

term is

24

and

9^{th}

term is

768

,

S_{10} =

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 7 - Sequence and Series>Critical Thinking>Q 44

The sum of first

10

terms of

G . P .

is equal to

244

times the sum of its first five terms. Then the common ratio is

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 7 - Sequence and Series>Critical Thinking>Q 46

The first term of a

G . P .

7

, the last term is

448

and sum of all terms is

889

, then the common ratio is

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 7 - Sequence and Series>Critical Thinking>Q 47

If the sum of

n

terms of a

G . P .

is

255

,

n^{th}

term is

128

and common ratio is

2

, then the first term will be

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 7 - Sequence and Series>Critical Thinking>Q 48

The sum of first three terms of a

G . P .

to the sum of next three terms is

125 : 27

. The common ratio of the

G . P .

is

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MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 7 - Sequence and Series>Critical Thinking>Q 49

In a

G . P .

, the first term is

' a'

, second term is

' b'

and the last term is

' c'

, then sum of the series is

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 7 - Sequence and Series>Critical Thinking>Q 50

The solution of the equation

1 + a + a^{2} + a^{3} + \dots + a^{x} = (1 + a) (1 + a^{2}) (1 + a^{4})

is given by

x

. Then

x

is equal to