MATHEMATICS CLASS X>Chapter 5 - Arithmetic Progression>EXERCISE 5.4>Q 53

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For the $A . P$ . $- 3, - 7, - 11, \dots \dots .$ can we find $a_{30} - a_{20}$ without actually finding $a_{30}$ and $a_{20}$ ? Give reasons for your answer.

Important Questions on Arithmetic Progression

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IMPORTANT

MATHEMATICS CLASS X>Chapter 5 - Arithmetic Progression>EXERCISE 5.4>Q 54

Two

A . P

.s have the same common difference. The first term of one

A . P

. is

2

and that of the other is

7

. The difference between their

10^{th}

terms is the same as the difference between their

21^{st}

terms, which is the same as the difference between any two corresponding terms. Why

?

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MATHEMATICS CLASS X>Chapter 5 - Arithmetic Progression>EXERCISE 5.5>Q 1

Find the value of

x

for which

(8 x + 4), (6 x - 2)

and

(2 x + 7)

are in A.P.

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MATHEMATICS CLASS X>Chapter 5 - Arithmetic Progression>EXERCISE 5.5>Q 2

If

x + 1, 3 x

and

4 x + 2

are in

A . P

, find the value of

x

.

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MATHEMATICS CLASS X>Chapter 5 - Arithmetic Progression>EXERCISE 5.5>Q 3

Show that

{(a - b)}^{2}, (a^{2} + b^{2})

and

{(a + b)}^{2}

are in

A . P .

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IMPORTANT

MATHEMATICS CLASS X>Chapter 5 - Arithmetic Progression>EXERCISE 5.5>Q 4

The sum of three terms of an

A . P

is

21

and the product of the first and the third terms exceeds the second term by

6

, find three terms.

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MATHEMATICS CLASS X>Chapter 5 - Arithmetic Progression>EXERCISE 5.5>Q 5

Three numbers are in

A . P

. If the sum of these numbers be

27

and the product

648

, find the numbers.

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MATHEMATICS CLASS X>Chapter 5 - Arithmetic Progression>EXERCISE 5.5>Q 6

Find the four numbers in

A . P

, whose sum is

50

and in which the greatest number is

4

times the least.

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IMPORTANT

MATHEMATICS CLASS X>Chapter 5 - Arithmetic Progression>EXERCISE 5.5>Q 7

The sum of three numbers in

A . P .

is

12

and the sum of their cubes is

288

. Find the numbers.