
Matt W. answered 04/04/19
Cornell Math and Science Tutor with Engineering Background
So sequences have a common difference between numbers. If the first number is 1 and then next the number is -1, then the common difference is -2.
In this case, we start with 1 (a0 means the zero number of the sequence). To find the next number in the sequence, an, we take the previous number, an-1, and subtract 2.
a0 = 1
an = an-1 - 2
Thus,
a0 = 1
a1 = -1
a2 = -3
a3 = -5
a4 = -7
a5 = -9