MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 7 - Sequence and Series>Competitive Thinking>Q 122

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If the ratio of $H . M .$ and $G . M .$ between two numbers $a$ and $b$ is $4 : 5$ , then the ratio of the two numbers will be

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Important Questions on Sequence and Series

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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>Competitive Thinking>Q 123

If A.M. and G.M. of

x

and

y

are in the ratio

p : q

, then

x : y

is

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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>Competitive Thinking>Q 124

If

t_{n} = \frac{1}{4} (n + 2) (n + 3)

for

n = 1, 2, 3, \dots .

, then

\frac{1}{t_{1}} + \frac{1}{t_{2}} + \frac{1}{t_{3}} + \dots + \frac{1}{t_{2003}} =

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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>Competitive Thinking>Q 125

1 + \frac{3}{2} + \frac{5}{2^{2}} + \frac{7}{2^{3}} + \dots \dots \infty

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>Competitive Thinking>Q 126

The sum to infinite number of terms of the following series

1 + \frac{4}{5} + \frac{7}{5^{2}} + \frac{10}{5^{3}} + \dots

will be

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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>Competitive Thinking>Q 127

The sum to infinity of the series

1 + \frac{2}{3} + \frac{6}{3^{2}} + \frac{10}{3^{3}} + \frac{14}{3^{4}} + \dots

is

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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>Competitive Thinking>Q 128

If

\frac{1}{1^{4}} + \frac{1}{2^{4}} + \frac{1}{3^{4}} + \dots . \infty = \frac{π^{4}}{90}

, then the value of

\frac{1}{1^{4}} + \frac{1}{3^{4}} + \frac{1}{5^{4}} + \dots . \infty

is

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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>Competitive Thinking>Q 131

The

n^{th}

term of series

\frac{1}{1} + \frac{1 + 2}{2} + \frac{1 + 2 + 3}{3} + \dots \dots

will be

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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>Competitive Thinking>Q 133

Sum of the

n

terms of the series

\frac{3}{1^{2}} + \frac{5}{1^{2} + 2^{2}} + \frac{7}{1^{2} + 2^{2} + 3^{2}} + \dots \dots

is