Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 48

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If $\frac{(a^{n + 1} + b^{n + 1})}{(a^{n} + b^{n})}$ is the arithmetic mean between unequal numbers $a$ and $b$ then $n = ?$

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Important Questions on Sequences and Series (AP, GP, HP)

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 49

The ratio between the sums of

n

terms of two arithmetic progressions is

(7 n + 1) : (4 n + 27) .

The ratio of their

11^{t h}

terms is

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 50

The ratio between the sums of

n

terms of two arithmetic progressions is

(3 n + 8) : (7 n + 15) .

The ratio of their

12^{t h}

terms is

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 51

If there are

(2 n + 1)

terms in an

AP

then the ratio of the sum of all odd terms and that of all even terms is

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 52

If the ratio of the sums of

m

and

n

terms of an

A P

be

(m^{2} : n^{2})

then the ratio of

m^{t h}

and

n^{t h}

terms is

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 53

Three numbers are in

A P

whose sum is

24

and whose product is

440

. The largest of these numbers is

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 54

The angles of a quadrilateral are in

A P

whose common difference is

10 ° .

The largest of these angles is

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 55

If

\frac{(3 + 5 + 7 + \dots to n terms)}{(5 + 8 + 11 + \dots to 10 terms)} = 7

then

n = ?

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 56

How many numbers lie between

10

and

300,

which when divided by

4

leave a remainder

3 ?