MATHEMATICS for CLASS XI>Chapter 20 - Geometric Progressions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 1

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If the fifth term of a G.P. is $2$ , then write the product of its $9$ terms.

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Important Questions on Geometric Progressions

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MATHEMATICS for CLASS XI>Chapter 20 - Geometric Progressions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 2

If

(p + q)^{t h}

and

(p - q)^{t h}

terms of a G.P. are

m

and

n

respectively, then write its

p^{t h}

term.

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MATHEMATICS for CLASS XI>Chapter 20 - Geometric Progressions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 3

If

\log_{x} a, a^{x / 2}

and

\log_{b} x

are in G.P., then write the value of

x

.

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MATHEMATICS for CLASS XI>Chapter 20 - Geometric Progressions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 4

If the sum of an infinite terms of decreasing G.P. is

3

and the sum of the squares of its terms is

\frac{9}{2}

, then write its first term.

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MATHEMATICS for CLASS XI>Chapter 20 - Geometric Progressions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 5

If

p^{th}, q^{th}

and

r^{th}

terms of a G.P. are

x, y, z

respectively, then write the value of

x^{q - r} y^{r - p} z^{p - q}

.

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MATHEMATICS for CLASS XI>Chapter 20 - Geometric Progressions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 6

If

A_{1}, A_{2}

be two AM's and

G_{1}, G_{2}

be two GM's between

a

and

b

, then find the value of

\frac{A_{1} + A_{2}}{G_{1} G_{2}}

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MATHEMATICS for CLASS XI>Chapter 20 - Geometric Progressions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 7

If second, third and sixth terms of an A.P. are consecutive terms of a G.P., write the common ratio of the G.P.

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MATHEMATICS for CLASS XI>Chapter 20 - Geometric Progressions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 8

Write the quadratic equation the arithmetic and geometric means of whose roots are

A

and

G

respectively.

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MATHEMATICS for CLASS XI>Chapter 20 - Geometric Progressions>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 9

Write the product of

n

geometric means between two numbers

a

and

b

.