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3 years ago

Find the common difference of the arithmetic sequence, the next three terms, the equation, and the term given for 8, 10, 12, 14

Mathematics

1 answer:

fredd [130]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

In an arithmetic sequence the common difference d is

d = a₂ - a₁ = 10 - 8 = 2

To obtain the next term in the sequence add d to the previous term, that is

a₅ = 14 + 2 = 16

a₆ = 16 + 2 = 18

a₇ = 18 + 2 = 20

The next 3 terms in the sequence are 16, 18, 20

The n th term equation for an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = 2, thus

$a_{n}$ = 8 + 2(n - 1) = 8 + 2n - 2 = 2n + 6

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Miguel made 80 on his Math test. He made 95 in last week's Math test. What is the percent of change on his scores? (Round your

storchak [24]

Answer:

15.78 %

Step-by-step explanation:

It is given that,

Miguel made 80 on his Math test. He made 95 in last week's Math test.

We need to find the percent change on his scores. It can be calculated as follows :

$\%=\dfrac{\text{original score-initial score}}{\text{original socre}}}\times 100\\\\\%=\dfrac{95-80}{95}\times 100\\\\\%=15.78\%$

So, there is a percent change of 15.78%.

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3 years ago

£560 is divided between Kate, Nima & Roshana so that Kate gets twice as much as Nima, and Nima gets three times as much as R

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Answer:

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3 years ago

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3 years ago

3. How tall is Mekhi if his brother is x inches tall? Write an expression using the variable x.

Olenka [21]

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3 years ago

Find the coordinates of H if X(-8, 4) is the midpoint of GH and G(2, -9).

skelet666 [1.2K]

Step-by-step explanation:

Hey there!

The given midpoint is; X(-8,4) and G(2,-9).

To find: H

Now; You need to use formula for midpoint.

$midpoint(x) = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )$

Put all values.

$( - 8,4) = (\frac{ 2 + x}{2} , \frac{ - 9 + y}{2} )$

As they are equal, their corresponding elements are equal.

$- 8 = \frac{2 + x}{2}$

$- 16 - 2 = x$

x = -18

$4 = \frac{ - 9 + y}{2}$

$4 \times 2 = - 9 + y$

$8 + 9 = y$

$y = 17$

Therefore, y = 17.

Therefore, H =( -18,17).

Hope it helps....

4 0

3 years ago

Read 2 more answers