A(n)=-6+3(n-1) Find the 16th term

Mathematics

2 answers:

Westkost [7]3 years ago

5 0

Step-by-step explanation:

A(n) = -6 + 3 (n-1)

A( 16 ) = - 6 + 3 ( 16 - 1)

= - 6 + 3 * 15

= - 6 + 45

= 39

emmasim [6.3K]3 years ago

4 0

Answer:

Step-by-step explanation:

Substitute n = 16 into the n th term formula, that is

A(16) = - 6 + 3(16 - 1) = - 6 + 3(15) = - 6 + 45 = 39

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3 years ago

Write an equation that is parallel to y = 3x and passes through (-4 , -3)

Anit [1.1K]

The slopes of two parallel lines must be identical.

We have slope $m=3$ , so the slope for the parallel line be the same.

Now, to find an equation that also passes through the given point, we use slope-point form, $y-y_1=m(x-x_1)$ , where our point $(-4,-3)$ is substituted for $(x_1,y_1)$ .

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Now, we convert to slope-intercept form as such.

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And we are done. :) We can verify graphically that these are indeed parallel lines. See attached.