This is a geometric sequence because each term is a constant multiple, called the common ratio, of the previous term. In this case the common ratio, noted as "r", is:
8/-2=-32/8=128/-32=r=-4
The first term is -2
Any geometric sequence can be expressed as:
a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number.
Since we know r and a for this problem already we can say:
a(n)=-2(-4)^(n-1)
A mixed number is a whole number plus a fraction.
the smallest whole number is 1.
so no mixed number could be lees than 1.
mixed numbers that are 1/5 apart and are between 6 and 7
1-6/1 or 2-71
Q must be positive in F.
F. r squared will be positive, because any number times itself is positive, and to get a positive number for the answer, the two numbers you multiply need to be the same sign. If r squared is positive, q must be too.
G. q does not have to be positive. If r is a negative number, then q can be negative. Say q=-2 and r=-3. -2-(-3) changes to -2+3, which equals 1.
H. Again, q can be negative if r is negative (two negative numbers multiplied together equals a positive answer.
J. q can be negative because even a negative number turns positive when squared.
Hope this helped you. :)
In dividing two equation with variables and exponent, First you must align or rearrange the equation and group them base on their variables but don't forget the sign of each variables. Second, proceed in dividing its quantity and then subtract its exponent to the other variables having the same. So by calculating it, the answer would be X or X^1
