1 of 3

  • Finding missing terms in given

sequence

ARITHMETIC

PROGRESSIONS

2 of 3

3) In the following APs, find the missing terms in the boxes :

iv) - 4, , , , , 6

Sol:

a = -4, a6 = 6

We know that,

a6 = a + 5d

∴ 6

= -4

+ 5d

∴ 6 + 4

= 5d

∴ 10

= 5d

∴ 2

= d

Now, lets find

a2, a3, a4 & a5

a2 = a + d

= - 4 + 2

a2 = - 2

a3 = a + 2d

= - 4 + 2(2)

= - 4 + 4

a3 = 0

a4 = a + 3d

= - 4 + 3(2)

= - 4 + 6

a4 = 2

a5 = a + 4d

= - 4 + 4(2)

= - 4 + 8

a5 = 4

-4, -2, 0 , 2 , 4 , 6

We need to find a2, a3, a4 & a5

a and a6 are given

For given value of a6

Exercise 5.2 3(iV)

HOMEWORK

3 of 3

 

3) In the following APs, find the missing terms in the boxes :

 

Sol:

 

We know that,

a4 = a + 3d

 

=

5

+

3d

 

–

5

=

3d

 

 

–

=

3d

 

=

3d

 

 

=

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

We need to find a2 and a3

a and a4 are given

For given value of a4

 

Exercise 5.2 3(Iii)