Answer:
The 30th term of the sequence is -77
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