A formula is recursive if it expresses the term 
in terms of the previous one(s) 
In this case, every term is 7 more than the previous one, so the formula for will only involve 
:
In fact, this formula is simply saying: for every index 
, the term with that index is 7 more than the term before.
Also, we have to specify the starting point (otherwise we would go backwards indefinitely), so the complete recursive formula is
which means: start with 2 and generate every other term by adding 7 to the previous one.
Answer: It is
3+3+3+3
Because 3^4 means 3x3x3x3
Answer: The expected value of this game is 2/3
Step-by-step explanation:
Give that
If it's black, you lose a point. If it's red, you gain a point.
And then you can stop at any time. But you should never stop when you are losing because that can guarantee 0 by drawing all the cards.
Assuming you should stop after three cards when you are +2.
The only question is whether to draw if you are +1 on the first draw.
If you draw red first, You have 1/3 chance of drawing red again and this will give you +2 points
1/3 chance of drawing two blacks and earn zero point, chance of drawing black-red and earn +1. This gives +1, so it doesn't matter whether you draw or not.
From the beginning, If you draw red (probability 1/2 you end +1. If you draw black and then draw two reds (probability 1/6 you end +1) Otherwise you break even with probability 1/3. Overall, the value is 2/3
Answer: 452.16 or just 452 units^3
Step-by-step explanation:
V= πr^2*h
using 3.14 like the problem asks could effect what you're rounding to but either way pi(6)^2=113.04 *4= 452.16
Answer:
After 5 minutes, the pool will hold 249,00 gallons of water.
After 20 minutes, the pool will hold 246,000 gallons of water.
