Correct Question
30th term of AP 10, 7, 4 is
Answer:
The 30th term is -77
Step-by-step explanation:
Required
Determine the 30th term of the given progression
First, we need to determine the common difference (d);
[tex]d = T_2 - T_1[/tex]
[tex]d = 7 - 10[/tex]
[tex]d = -3[/tex]
The nth term of an AP is calculated by
[tex]T_n = a+ (n -1) d[/tex]
In this case;
n = 30;
a = First term = 10
d = -2
Substitute these values in the given formula
[tex]T_{30} = 10+ (30 -1) * -3[/tex]
[tex]T_{30} = 10+ (29) * -3[/tex]
Open the bracket
[tex]T_{30} = 10-87[/tex]
[tex]T_{30} = -77[/tex]
Hence, the 30th term is -77
