Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues.

Mathematics

1 answer:

never [62]2 years ago

3 0

Answer:

ans : general term = (2n +8)/(4^n) * (-1)^n

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A line passes through the points (-3, -2)and (2,1). Does it also passed through the points (5,3)

satela [25.4K]

Hi!

Let's write it in slope intercept form first.

y = mx + b

Subtract y intercepts
1 - (-2) = 3

Subtract x intercepts
2 - (-3) = 5

y = 3/5x + b

Substitute one of the points to find y intercept.
1 = 3/5 · 2 + b
1 = 1.2 + b
-0.2 = b

y = 3/5x - 0.2

Now substitute the point (5,3), and if the equation is still correct, then it does pass through that point.

5 = 3/5 · 3 - 0.2
5 = 1.8 - 0.2
5 = 1.6

Since the equation is in correct, the line does NOT pass through the point (5,3).

Hope this helps! :)

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Schach [20]

48•9=432
There are 432 barns

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Sergio039 [100]

24 students are right-handed

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A factory manager conducted tests on a random sample of 150 products.of the products tested 2 were found to have defects.Based o

Alexeev081 [22]

The best information we can use is the ratio of defectuosity, 2/150
Applying it to the size of the batch
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4 years ago

Find value of x, show your work

Zina [86]

Here is your answer

$\huge x=\frac{35}{2}cm= 17.5cm$

REASON :
AB//CD

So,

/_A=/_D ... (alternate int. angles)

/_B=/_C ... (alt. int. angles)

So,

Tri.ABE~Tri.DCE... (by AA similarity)

Therefore,

Corresponding sides are proportional

i.e.

$\frac{AE}{DE}=\frac{AB}{DC}$

$\frac{5}{x}=\frac{4}{14}$

$x=\frac{5×14}{4}$

$x=\frac{5×7}{2}$

$x=\frac{35}{2}$

HOPE IT IS USEFUL

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4 years ago