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3 years ago

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Mathematics

1 answer:

amm18123 years ago

4 0

Answer:

Step-by-step explanation:

25 - 32 = -7 and 18 - 25 = -7

It means an arithmetic sequence with common difference d = -7

$a_n = a_1+d(n-1)\\\\a_1=32\\d=-7\\\\a_n=32+(-7)(n-1)\\\\a_n = 32-7n+7\\\\\underline{a_n=-7n+39}$

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Write the slope-intercept form of the equation that passes through the given points. (separate equations for each of them)

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Answer:

Part 1) $y=-\frac{1}{5}x-1$

Part 2) $y=3x-16$

Part 3) $y=4$

Step-by-step explanation:

we know that

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$y=mx+b$

where

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b is the y-intercept

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substitute

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we have

$m=-\frac{1}{5}$

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substitute in the equation $y=mx+b$ and solve for b

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substitute

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$m=3$

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$m=\frac{y2-y1}{x2-x1}$

substitute

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3 years ago

If an=5n-3 find the common difference

elena55 [62]

Answer:

Hi here is your answer

an=5n-3

an-1= -3+5n

an-1= -3+5(n-1)

an-1= -3+5n-5

an-1= 5n-7

d= an- an-1

d=(5n-3)-(5n-7)

d=5n-3-5n+7

d=4

Answer: d = 4

Hope this helps you.

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