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 23

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IMPORTANT

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If the ratio of the sum of $n$ terms of two $A . P .' s$ be $(7 n + 1) : (4 n + 27)$ , then the ratio of their $11^{th}$ terms will be:

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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 24

If

a, b, c

, are in

A . P .

and also

\frac{1}{a}, \frac{1}{b}, \frac{1}{c}

are in

A . P .

, then

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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 25

If

a, b, c

are in

A . P .

then

(a + 2 b - c) (2 b + c - a) (c + a - b)

equals

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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 26

The sum of

n

arithmetic means between

a

and

b

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 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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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