When facing problems where you have to find a certain term of a sequence, look really closely for patterns. Some sequences have a really easy pattern like adding or subtracting numbers. Other sequences have more complicated patterns.
In this case, based solely on the three numbers you are given you can observe that the numbers are decreasing.
Here's what we can see so far:
To get from the 1st term to the 2nd term:
subtract 5 from the starting number
To get from the 2nd term to the 3rd term:
subtract 6 from the above result
Even though we only have a small piece of the pattern, let's try extending it! We're going to continue subtracting, but we're going to increase the amount that we take away every time.
Try solving it yourself before you look ahead! :)
So continuing the pattern:
Start at -4
To get from the 1st term to the 2nd term:
subtract 5
(-4 - 5) = -9
To get from the 2nd term to the 3rd term:
subtract 6
(-9 - 6) = -15
To get from the 3rd term to the 4th term:
subtract 7
(-15 - 7) = -22
To get from the 4th term to the 5th term:
subtract 8
(-22 - 8) = -30
To get from the 5th term to the 6th term:
subtract 9
(-30 - 9) = -39
[...continue this pattern until you reach the 17th term...]
Before you just write down the answer, make sure you do your own work! I calculated that the 17th term was -204.
Try practicing with some other sequences of numbers! You've got this!
Answer:
Step-by-step explanation:
One is given the following expression:
In order to simplify and solve this problem, one must keep the following points in mind: the square root function (
) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: (
). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.
Take factors from out of under the radical:
Simplify,
Answer:
The probability that both cards that are drawn are hearts is 1/17.
Step-by-Step-Explanation:
First off, know that there are 13 heart cards in the deck of 52 cards. Therefore, the chance of pulling a single heart card is 13/52. Let's say we do pull a heart card. Since there is no replacement for the heart card taken out of the deck, we now have 12 heart cards out of a deck of 51 cards. The chance of pulling out a heart card in now 12/51. To find the probability that both cards drawn out are hearts, multiply the two fractions together: (13/52)⋅(12/51)=156/2652=1/17.
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So hence, your answer is 1/17</h2>
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Thanks!
Answered by: FieryAnswererGT
#learnwithbrainly
Want to Thank me? JUST MARK ME BRAINLIEST! So simple!
Answer:
1.The Pythagorean theorem is used in football by telling the defender how much is necessary to run.For example the ball carrier is heading for the end zone 40 yards away.The defender stands 30 yards away and needs to defend him. Pythagorean theorem states A^2 +B^2=C^2.so comparing to Pythagorean theorem these sides are the legs of the triangle. forming 90 degree angle. The distance the defender need to run is the hypotenuse. So (40^2)times(30^2)=50^2.
2. It would be important for a football player to understand the Pythagorean theorem because that way they can now the direction there running, and angle defender needs to run, the speed need to use to outrun opponent, and so that the defender can now what distance to run in a the same time it takes the ball carrier to run to the same place. This can make a difference between a touchdown or a game saving tackle.
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Brainliest Please!</u></h3>
