Question

Find the 75th term of the A.P. 5, 8, 11, 14, by Completing the following activity. Activity: A.P. 5, 8, 11, 14, (given) Here a = 5, d =3 in || ..t75 = 5 + (75 - 1) x .. t75 = 5 + .. t75 = ..the 75th term of an A.P. is 227. ​

Answer 1

Explanation:

This arithmetic progression (A.P.) begins with a first term of a = 5 and has a common difference of d = 3.

To find the nth term of an A.P. the formula is:

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

We're looking for the 75th term,
`t_(75)`. Let's fill in the known values into the formula.

`t_(75) = 5 + (75 - 1) * d`

We can now plug in the value of the common difference d = 3:

`t_(75) = 5 + (74) * 3`

Let's calculate:

`t_(75) = 5 + 222`

`t_(75) = 227`

Therefore, the 75th term of the A.P. is 227.