1.30th term of A. P; 10, 7, 4 ... is

The 30th term of the sequence is - 77

Step-by-step explanation:

The formula for finding the nth term of of an AP is expressed as

Tn = a + (n-1) d

n is the number of terms of the sequence

a is the first term

d is the common difference

Given the AP 10, 7, 4 ...

The first term a = 10

number of term = 30 (since we are looking for the 30th term of the sequence)

d = 7-10 = 4-7 = - 3

on substitution;

T30 = 10 + (30-1) * -3

T30 = 10+29 (-3)

T30 = 10-87

T30 = - 77

The 30th term of the sequence is - 77