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sammy [17]
2 years ago
15

Write. varible expression to describe the rule for the sequence 8,10,12,14 then find the 100th term

Mathematics
1 answer:
ruslelena [56]2 years ago
4 0
The first step would be to put in the fact that the sequence starts at 8

y = 8 + _x

The blank is going to include the difference between each number in the sequence; that is, how much it’s increasing by. To find it, get the difference between any two (consecutive!) terms.

10 - 8

12 - 10

14 - 12

All of these are equal to 2. Therefore, our gap is going to include “2”

y = 8 + 2x

To find the hundredth term, simply plug in 99 for x (the reason being that plugging in 0 for x gives us 8, but this is considered the first term. Therefore, x - 1 is the actual term)

y = 8 + 2(99)

y = 8 + 198

y = 206

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If f(x) varies directly with x and f(x) = 72 when x = 6, find the value of f(x) when x = 3.
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36

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Since f(x) varies directly with x, f(x) can be expressed alternatively as \[f(x) = k * x\] where k is a constant value.

Given that f(x) is 72 when the value of x is 6.

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Simplifying and rearranging the equation to find the value of k:

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