Problema Solution
Find a60 (the 60th term)of the arithmetic sequence, given that the first term, a1. is 35 and the common difference, d, is -3
Answer provided by our tutors
We can write an Arithmetic Sequence as a rule:
an = a1 + d(n-1)
a1 = 35 (the first term)
d = -3 (the "common difference")
an = 35 + (-3)(n - 1)
an = 38 - 3n
For n = 60 we have:
a60 = 38 - 3*60
a60 = -142
The 60th term is -142.