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Home » Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the A.P.
Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the A.P.
Arithmetic Progression | CBSE | Class 10 | Maths | NCERT
Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the A.P.

Solutions:

 (i) Given here,

The first term, a = 7

The common difference, d = 3

Number of terms given, n = 8

We need to seek out the nth term, {{a}_{n}}=?

As we all know, for an A.P.,

{{a}_{n}}=a+(n-1)d

Putting the values together,

=> 7+(8 −1) 3

=> 7+(7) 3

=> 7+21 = 28

Therefore, {{a}_{_{n}}}= 28

(ii) Given here,

The first term, a = -18

The common difference, d = ?

Number of terms given, n = 10

Nth term, an = 0

As we all know, for an A.P.,

an = a+(n−1)d

Putting the values together,

0 = − 18 +(10−1)d

18 = 9d

d = 18/9 = 2

Therefore, the common difference, d = 2

i

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