Question

Which term of the A.P. 3, 8, 13, ... is 248?

Answer 1

Here, A.P is  3, 8, 13,....

`a_n = 248`

a = 3

Now

Common difference (d) = `a_1 - a`

= 8 - 3

= 5

Thus, using the above mentioned formula

`a_n = a + (n - 1)d`

248 = 3 + (n - 1)5

248 - 3 = 5n - 5

245 + 5 = 5n

`n = 250/5`

Thus n = 50

Therefore 248 is the 50th term of the given A.P