By laying on the short edge the frame of it is 6
Let
where we assume |r| < 1. Multiplying on both sides by r gives
and subtracting this from gives
As n → ∞, the exponential term will converge to 0, and the partial sums will converge to
Now, we're given
We must have |r| < 1 since both sums converge, so
Solving for r by substitution, we have
Recalling the difference of squares identity, we have
We've already confirmed r ≠ 1, so we can simplify this to
It follows that
and so the sum we want is
which doesn't appear to be either of the given answer choices. Are you sure there isn't a typo somewhere?
Answer:
- Asafa ran at a faster rate
Step-by-step explanation:
<u>Asafa's speed:</u>
- 0.75 km/ 6 min = 750 m/ 6 min = 125 m/min
<u>Jemaine's speed:</u>
- 3000 m / 30 min = 100 m/min
Asafa ran at faster rate as 125 m/min > 100 m/min
Answer:
16,425
Step-by-step explanation:
For future references, I'd say use a calculator for multiplication or calculate on a piece of paper. :)
4 Times 3 equals 12 so add 12 three times that equals 36 cubes in the prism.