Question

1. Determine whether the sequence 10,5,0,-5,..Is arithmetic, geometric, or neither. 2.Write an EXPLICIT formula for finding the nth term of the sequence.( Find the formula even if the sequence is neither arithmetic nor geometric )

Answer 1

Considering the sequence

10,5,0,-5...

The difference between the succeive terms are equal

5 - 10 = 0 - 5 = -5 - 0

Hence there is a common difference. An arithmetic sequence has a common difference hence the sequence is arithmetic.