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MaRussiya [10]
3 years ago
9

The 15th and 21st terms of an arithmetic sequence are -67 and -97, what is the 30th term?

Mathematics
1 answer:
natka813 [3]3 years ago
7 0

I believe it would be -132.

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Answer:

\frac{1}{81}

Step-by-step explanation:

<u>Key skills: Exponents + Fractions</u>

Use the negative exponent property. If your number is x^-y then it would be the same as 1/x^y

3^-4 is the same as \frac{1}{3^{4}}

3^4 is 81, so your answer would be 1/81.

Hope you have a nice day and understood this!

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PtichkaEL [24]

Answer:

y = 8x + 16

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Step-by-step explanation:

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Where,

m = slope = \frac{y_2 - y_1}{x_2 - x_1}

b = y-intercept or the point at which the line cuts the y-axis.

Let's find slope (m) using the slope formula:

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(0, 16) = (x_1, y_1)

(3, 40) = (x_2, y_2)

slope (m) = \frac{40 - 16}{3 - 0}

slope (m) = \frac{24}{3}

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y = mx + b

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16 = b

b = 16

Plug in the values of m and b into the slope-intercept formula to get the equation of the line.

y = mx + b

y = 8x + 16

Let's use the equation to find x when y = 112.

y = 8x + 16

Substitute y = 112 in the equation

112 = 8x + 16

112 - 16 = 8x

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