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The nth term of an A. …

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The nth term of an A. P is given by an =3+4n the comman difference is

Posted by Suneha Rana 4 years, 4 months ago

CBSE > Class 12 > Mathematics

4 answers

Shivam Verma 4 years, 4 months ago

We have given : an= 3+4n now replace "n" by (n-1) we get : a (n-1)= 3 + 4 (n-1) Now : an - a (n-1) i.e 3 + 4n - (3 + 4n - 4) ; 3 + 4n -3 - 4n + 4 = 4 (comman difference)

Ã.P.W.B.Đ ⚡ 4 years, 4 months ago

'n'th term of an AP will always be a linear expression in 'n' and its coefficient will always be the common difference (d) of that AP.

Ã.P.W.B.Đ ⚡ 4 years, 4 months ago

The above method is too long.

Gaurav Seth 4 years, 4 months ago

Solution :

It is given that,

= 3 + 4n_____(1)

Now,

put n = 1, 2, 3 turn wise. So that we can find , and .

★For finding ,

put n = 1 in (1)

= 3 + 4 (1)

= 3 + 4

= 7

★For finding ,

put n = 2 in (1).

= 3 + 4 (2)

= 3 + 8

= 11

★For finding ,

put n = 3 in (1).

= 3 + 4 (3)

= 3 + 12

= 15

So, the AP will be :

7, 11, 15 .........

Here, = 7

= 11

= 15

Now,

common difference (d) = -

common difference (d) = 11 - 7

common difference (d) = 4

ANSWER

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