For a finite sequence of non zero numbers, the number of variations in the sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is positive. What is the number of variations in sign for the sequence 1, -3, 2, 5, -4, -6,7,-9,8?  Choose one.
A) 1  B) 2  C) 3  D) 4  E) 5
The questions basically asks: how many pairs of consecutive terms are there in the sequence such that the product of these consecutive terms is positive.   2*(5)= 
<gadget id="calculator">2*(5)</gadget>
<output>10</output>
10=positive;   -4*(-6)= 
<gadget id="calculator">-4*(-6)</gadget>
<output>24</output>
24=positive;   So there are 2 pairs of consecutive terms.   Answer: 2
<result>B</result>
For a finite sequence of non zero numbers, the number of variations in the sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is positive. What is the number of variations in sign for the sequence 1, -3, 2, 5, -4, -6,7,-9,8?