Question

30 term of AP 1,7,4 is​

Answer 1

Correct Question

30th term of AP 10, 7, 4 is​

Answer:

The 30th term is -77

Explanation:

Required

Determine the 30th term of the given progression

First, we need to determine the common difference (d);

`d = T_2 - T_1`

`d = 7 - 10`

`d = -3`

The nth term of an AP is calculated by

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

In this case;

n = 30;

a = First term = 10

d = -2

Substitute these values in the given formula

`T_(30) = 10+ (30 -1) * -3`

`T_(30) = 10+ (29) * -3`

Open the bracket

`T_(30) = 10-87`

`T_(30) = -77`

Hence, the 30th term is -77