What is the 40th term of the sequence below? 14 9 4 -1
1 answer:
You might be interested in
The answer is 3/5.
Continue this pattern and you'll see that it follows this geometric sequence
Answer:
The value of a will be
Step-by-step explanation:
Start by graphing the parabola and the three points of the triangle. These points are at intersections of y=a(x-1)(x-4) and the axes
so the y = 0 points are (1,0) and (4,0).
The x = 0 intersection is when y=a(-1)(-4) or (0,4a)
The base and height of this triangle are
The base would be the distance between the y=0 intersections and the height would be the y value of the other vertex.
Hence, base=3 units and height = 4a units. Thus, area can be calculated as
∵ the parabola opens downward therefore a will be negative.
hence,