Answer:
-94
Step-by-step explanation:
nth term = a₁ + (n-1)d
where a1 = first term , n = number of terms and d = common difference
Here the first term is 80, the number of terms is 30 ( because we want to find the 30th term ) and the common difference is -6
So we have nth term = a₁ + (n-1)d and a₁ = 80 , n = 30 and d = -6
30th term = 80 + (30-1)(-6)
==> subtract 1 from 30
30th term = 80 + (29)(-6)
==> multiply 29 and -6
30th term = 80 + (-174)
==> add 80 and -174
30th term = -94
Note:
The common difference was found by subtracting a term by its the term previous to it. Eg. we have 68, its previous term was 74, so common difference = 68 - 74 = -6. Same with 56 , its previous term is 62, 56 - 62 = -6
