The answer TO THE QUESTION IS D
Answer:
The value of a is 3
Step-by-step explanation:
First you have to make an equation based on the point and slope that you were given. The formula for this is y-(y cordinate of point)=slope(x-x cordinate of slope)
y--2=-3(x-6), which simplifies to y+2=-3(x-6)
In (a,7), 7 is the y coordinate. We have to plug 7 in for the y in our equation.
7+2=-3(x-6),
Combine like terms on the left side to get to 9=-3(x-6)
Multiply out on the left to get 9=-3x+18
Subtract 18 from the left side to get -9=-3x
Divide both sides by negative 3 to get 3=x (remember x is a)
That's 33/100 and can't be simplified. If you had said that the 3s keep going and never end, then it would have been 1/3. But as written, it's just 33/100.
The next terms in the sequence will be multiplied by c, but the common ratio is still the same
example :
S = [1(3)^4 - 1]/ [3-1] = 80/2 - 40
Hope this helps
