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AysviL [449]
3 years ago
12

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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Answer:

x = \frac{k + c}{4}

Step-by-step explanation:

<em><u>Given:</u></em>

4x - c = k

<em><u>Solve for:</u></em>

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<em><u>Solution:</u></em>

(1) Let's move all of components that do not contain x (our target) to the right side (notice the change of sign of c from negative to positive):

4x = k + c

(2) Let's divide both sides of equation by 4:

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(3) Now, we simplify the left side:

x = \frac{k + c}{4}

This is the solution.

Hope this helps!

:)

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