Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 94

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The sum of an infinite series is $8$ and its second term is $2$ . Its common ratio is

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

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IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 95

The sum of an infinite geometric series is

15

and the sum of the squares of these terms is

45 .

The first term of the series is

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 96

If

a, b, c

are in

GP

and

a^{\frac{1}{x}} = b^{\frac{1}{y}} = c^{\frac{1}{z}}

then

x, y, z

are in

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 97

If

a, b, c

are in

G P

then

\log a, \log b, \log c

are in

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 98

If

y = x + x^{2} + x^{3} + \dots \infty

then

x = ?

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 99

If

x = 1 + a + a^{2} + \dots \infty

and

y = 1 + b + b^{2} + \dots \infty,

where

| a | < 1

and

| b | < 1

then

(1 + a b + a^{2} b^{2} + \dots \infty) = ?

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 100

If

x = (a + \frac{a}{r} + \frac{a}{r^{2}} + \dots \infty), y = (b - \frac{b}{r} + \frac{b}{r^{2}} - \dots \infty)

and

z = (c + \frac{c}{r^{2}} + \frac{c}{r^{4}} + \dots \infty)

then

\frac{x y}{z} = ?

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 101

If

a, b, c

are in

AP; a, x, b

and

b, y, c

are in

GP

then

x^{2}, b^{2}, y^{2}

are in

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 102

If

a, b, c

are in

AP

and

a, b, d

are in

GP

then

a, (a - b), (d - c)

are in