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ANEK [815]
3 years ago
7

How to find nth term of a sequence in math?

Mathematics
1 answer:
worty [1.4K]3 years ago
7 0
Salutations!

To find the nth term, you will be needing a formula.

a +(n-1) *d

a stands for the first term (first number in the sequence)

d stands for the difference between two terms. (always remember to subtract from the 2nd term to the 1st term)

and the n is what we are going to find

so in your sequence: 5, 10, 15, 20

5 is a (as it is the first term)

d would be 5 ( 10 -5 =5)

a+(n-1)*d

5+ (n-1) *5

5+5n-5

5n+0

your nth term is 5n+0

Hope this helps!

Have a great day!
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Flying against the wind, a jet travels 2160 miles in 3 hours. Flying with the wind, same jet travels 6000 miles in 6 hours. What
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Answer:

The velocity of jet in still air is  860miles/hour and velocity of wind is   140miles/hour.

Step-by-step explanation:

Let x be the rate of the jet in still air and y be the rate of the wind.

Given:

Velocity against wind, a jet travels 2160 miles in 3 hours.

Velocity against wind =\frac{2160}{3} = 720 miles/hour

Flying with the wind, same jet travels 6000 miles in 6 hours.

Flying with the wind =\frac{6000}{6} = 1000 miles/hour

As such its velocity against wind is  x-y

and with wind is   x+y therefore

x-y=720------------(1)

x+y=1000---------------(2)

Adding equation 1 and 2.

2x=1720

x=\frac{1720}{2}

x=860

Put x value in equation 2

860+y=1000

y=1000-860

y=140

Hence velocity of jet in still air is  860miles/hour and velocity of wind is   140miles/hour.

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Karonlina flips a coin 60 times. how many times would you expect it's to land heads up?
Novosadov [1.4K]

Answer:

30 times

Step-by-step explanation:

There's a 50% chance that they will get heads.

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50% of 60 is 30

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Evaluate if x=4<br> 3x+1<br><br> A)2<br> B)3<br> C)11/4<br> D)13/4
mariarad [96]

Step-by-step explanation:

Given

If x = 4 Then

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The answer should be 13.

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A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50%50% of this population prefer
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Answer:

0.1527

Step-by-step explanation:

Given that a researcher wishes to conduct a study of the color preferences of new car buyers.

Suppose that 50% of this population prefers the color red

15 buyers are randomly selected

Let X be the no of buyers who prefer red.

X has exactly two outcomes red or non red.

Also each buyer is independent of the other

Hence X is binomial with p = 0.5 and n = 15

Required prob =The probability that exactly three-fifths of the buyers would prefer red

= P(X=9)

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