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4 years ago

What is the common difference between successive terms in the sequence

Mathematics

1 answer:

Lelechka [254]4 years ago

4 0

9,2.5,-4,-10.5,-17

Let's find the difference between two consecutive terms

2.5 - 9 = -6.5

-4 - 2.5 = -6.5

-10.5 - (-4) = -6.5

-17 -(-10.5) = -6.5

We can see that the common difference is -6.5

-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17

the common difference is negative because we subtract 6.5 to get the next term.

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FrozenT [24]

To get the mean, you add all of the numbers, and then divide the answer by the number of numbers.

15+(-6)= 9
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3 years ago

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The hypotenuse of a right triangle is 10cm long. One of the triangle's legs is three times the length of the other leg. Find the

vivado [14]

Answer:

The lengths of the three sides are 10 cm, 9.49 cm and 3.16 cm

Step-by-step explanation:

Let

c ------> the length of the hypotenuse of a right triangle

x -----> the length of one leg

y -----> the length of the other leg

we know that

$c^{2}=x^{2}+y^{2}$ -----> equation A (Pythagoras Theorem)

$c=10\ cm$ ----> equation B

$x=3y$ -----> equation C

Substitute equation B and equation C in equation A and solve for y

$10^{2}=(3y)^{2}+y^{2}$

$100=10y^{2}$

$y^{2}=10$

$y=\sqrt{10}\ cm$

$y=3.16\ cm$

Find the value of x

$x=3(\sqrt{10})=9.49\ cm$

therefore

The lengths of the three sides are 10 cm, 9.49 cm and 3.16 cm

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3 years ago

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The diameter of a bike wheel is 21 inches. If the wheel makes 13 complete rotations , how far does the bike travel?

konstantin123 [22]

Answer:

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3 years ago

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GuDViN [60]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Let's find the value of x :

According to given picture, the angles (x + 75)° and (x + 125)° forms Co interior angle pair.

so,

$x + 75 + x + 125 = 180$

$2x + 200 = 180$

$2x = 180 - 200$

$2x = - 20$

$x = - 20 \div 2$

$x = - 10$

hence, value of x = -10°

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3 years ago

A grocer wants to make a 10-pound mixture of peanuts and cashews that he can sell for $4.75 per pound. If peanuts cost $4.00 per

timofeeve [1]

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3 years ago

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What is the common difference between successive terms in the sequence​

What is the common difference between successive terms in the sequence