An arithmetic sequence is a sequence of numbers a
1, a
2, a
3,... where
an - an-1 has the same value for every n.
For example, 2, 4, 6, 8, 10,....is such a sequence where the difference between any 2 consecutive numbers is 2.
Given,
a, b, c, d, and e are consecutive numbers in such a sequence and
a + b + c + d + e = 90. What is the value of
c?