Question

7, 13, 19, 25, . . . Find the 19th term of the given A.P.

Answer 1

7, 13, 19, 25, .......

here a = 7
.........d = 13 - 7 = 6

a19 = ?

a19 = a +18d
a19 = 7 +18 (6)
a19 = 7 +108
a19 = 115

I hope that it's helpful for you

Answer 2

Hey !

Solution :

Given :

7, 13, 19, 25 ... is an AP.

To Find :

19th term = ?

Proof :

In an AP, the common difference is the same for all,

Therefore The First Term ( a ) = 7

Common Difference ( d ) = 13 - 7 = 6

To Calculate the n th term of an AP, the formula is:

$A_{n} = a + ( n - 1 ) d$

Here " n " = 19 th term

Therefore substituting in the formula we get,

$A_{19} = 7 + ( 19 - 1 ) * 6$

$A_{19} = 7 + ( 18 * 6 )$

$A_{19} = 7 + 108 = 115$

Therefore the required value for the 19 th term is 115.

Hope it helped :-)