Find an equation for the nth term of the arithmetic sequence. -17, -14, -11, -8, ...

Mathematics

2 answers:

Elanso [62]3 years ago

5 0

Answer:

3n - 20

Step-by-step explanation:

a = -17

d = -14 - (-17) = 3

nth term = -17 + (n-1)(3)

= -17 + 3n - 3

= 3n - 20

Alecsey [184]3 years ago

4 0

Step-by-step explanation:

a= -17

d= -14-(-17)

= -14+17

= 3

the equation of nth term =a+(n-1)d

= -17+(n-1)3

= -17+3n-3

= 3n-20

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In a certain function, y varies directly with x. If y = 6 when x = 8, find x when y = 9.

Hatshy [7]

If y = 6 when x = 8, then value of "x" when y = 9 is equal to 12

<u>Solution:</u>

Given that , In a certain function, y varies directly with x

And x = 8 when y = 6,

We have to find what will be the value of x when y = 9

Now, from the given information,

$\begin{array}{l}{y \alpha x} \\\\ {y=c x \rightarrow(1)}\end{array}$

where c is the proportionality constant

$\begin{array}{l}{\text { Now, substitute } x=8 \text { and } y=6 \text { in }(1)} \\\\ {\rightarrow 8=c(6) \rightarrow c=\frac{8}{6}} \\\\ {\rightarrow c=\frac{4}{3}} \\\\ {\text { Then, }(1) \rightarrow x=\frac{4}{3} y} \\\\ {\text { So, when } y=9} \\\\ {\rightarrow x=\frac{4}{3}(9)} \\\\ {\rightarrow x=4 \times 3} \\\\ {\rightarrow x=12}\end{array}$