If
is odd, then
while if
is even, then the sum would be
The latter case is easier to solve:
which means
.
In the odd case, instead of considering the above equation we can consider the partial sums. If
is odd, then the sum of the even integers between 1 and
would be
Now consider the partial sum up to the second-to-last term,
Subtracting this from the previous partial sum, we have
We're given that the sums must add to
, which means
But taking the differences now yields
and there is only one
for which
; namely,
. However, the sum of the even integers between 1 and 5 is
, whereas
. So there are no solutions to this over the odd integers.
Answer:
78.5 m²
Step-by-step explanation:
The formula to find the area of a quarter of a circle: , where is the radius (diameter ÷ 2) and the is alterable.
1) Substitute the given values into the formula.
=
2) Solve it.
=
= 78.5
3) Round it off to the nearest tenth. In this case, it has already been rounded off.
Answer:
is this geometry or algebra
We have no idea how much is one faithful of a barrel.
Answer:
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+129x+119
y=−16x
2
+129x+119