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ARITHMETIC

PROGRESSIONS

  • Finding the next few terms of an A.P.

when values of ‘a’ and ‘d’ are given

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5) Write the first four terms of the following A. P. where, the

common difference ‘d’ and the first term ‘a’ are given :

i) a = 10, d = 10

Sol:

Here,

a1 =

a

= 10

a2 =

a1 + d =

10 + 10

= 20

a3 =

a2 + d =

20 + 10

= 30

a4 =

a3 + d =

30 + 10

= 40

  • The first four terms of the A.P.

are 10, 20, 30, and 40.

a = 10, d = 10

BY ADDING ‘d’ TO A TERM OF AN A.P. WE GET NEXT TERM

a1, a2, a3, a4

Add ‘d’ to

a1

Add ‘d’ to

a3

Add ‘d’ to

a2

Exercise 5.1 2(i)

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5) Write the first four terms of the following A. P. where, the

common difference ‘d’ and the first term ‘a’ are given :

ii) a = – 2, d = 0

Sol:

Here,

a1 =

a

= – 2

a2 =

a1 + d =

– 2 + 0

= – 2

a = – 2, d = 0

a3 =

a2 + d =

– 2 + 0

= – 2

a4 =

a3 + d =

– 2 + 0

= – 2

  • The first four terms of the A.P.

are – 2, – 2, – 2, and – 2, .

BY ADDING ‘d’ TO A TERM OF AN A.P. WE GET NEXT TERM

a1, a2, a3, a4

Add ‘d’ to

a1

Add ‘d’ to

a3

Add ‘d’ to

a2

Exercise 5.1 4(ii)

HOMEWORK