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 26

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IMPORTANT

Earn 100

The sum of $n$ arithmetic means between $a$ and $b$ is:

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Important Questions on Sequence and Series

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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 27

If

\frac{a^{n + 1} + b^{n + 1}}{a^{n} + b^{n}}

be the

A . M .

of

a

and

b

, then

n =

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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 28

After inserting

n

A . M .' s

between

2

and

38

, the sum of the resulting progression is

200

. The value of

n

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>Critical Thinking>Q 29

If

\log 2, \log (2^{n} - 1)

and

\log (2^{n} + 3)

are in

A . P .

, then

n =

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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 30

if

1, \log_{9} (3^{1 - x} + 2), \log_{3} (4 \cdot 3^{x} - 1)

are in

A . P .

, then

x

equals

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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 31

If the sum of three numbers of a arithmetic sequence is

15

and the sum of their squares is

83

, then the numbers are

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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 32

The

n^{th}

term of the series

\frac{1}{2} + \frac{3}{4} + \frac{7}{8} + \frac{15}{16} + \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>Critical Thinking>Q 33

If the third term of

G . P .

a

is

4

, then product of first five terms 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 34

If for a

G . P .

,

t_{3} = 36

and

t_{6} = 972

, and then

t_{8} =