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Anna [14]
2 years ago
7

Write an explicit formula for an, the nth term of the sequence 21, 27, 33, ....

Mathematics
1 answer:
anygoal [31]2 years ago
6 0

Answer:

Step-by-step explanation:

Remark

This is an arithmetic series. Each term differs by 6 from the previous one.

Givens

a1 = 21

d = 6

Formula

a_n = a1 + (n - 1)*d

Sample

Try it.

Let's let n = 3 which we have the answer for.

a_3 = 21 + (3-1)*6

a_3 = 21 + 2 * 6

a_3 = 21 + 12

a_3 = 33

That's exactly what the 3rd term is.

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Find the perimeter of a square of whose diagonal measures 12cm
Schach [20]

check the picture below.


recall that in a square, all four sides are equal, therefore b = a.


so the perimeter is then 6√2 + 6√2 + 6√2 + 6√2, or 24√2.

6 0
3 years ago
8x(5+10)= (8x5) + (5x10)
Slav-nsk [51]

Answer:

i think its x= 0.75

Step-by-step explanation:

substitute:

8x × 5 = 40x

8x × 10 = 80x

8 × 5 = 40

5 × 10 =50

40x + 80x = 40 + 50

add like terms

so it'd be:

120x = 90

now divide 90 by 120 and that would give you the value of x alone which is 0.75

7 0
3 years ago
Read 2 more answers
Find the measure of the exterior angle.
Illusion [34]

Answer:

<em> 108 degrees</em>

Step-by-step explanation:

From the diagram we are given

Interior angles are 2x + 1 and 63 degrees

Exterior angle = 5x -2

The sum of interior angles is equal to the exterior angle

2x + 1 + 63 = 5x - 2

2x + 64 = 5x - 2

2x - 5x = -2-64

-3x = -66

x = -66/-3

x = 22

Get the exterior angle:

Exterior angle = 5x-2

Exterior angle = 5(22) - 2

Exterior angle = 110-2

Exterior angle  = 108 degrees

<em>Hence the measure of the exterior angle is 108 degrees</em>

5 0
3 years ago
Part A
Liono4ka [1.6K]

A

Because i did the math and i had this question before

3 0
3 years ago
What is a negative control.
OLga [1]

Answer:

Negative controls are particular samples included in the experiment that are treated the same as all the other samples but are not expected to change due to any variable in the experiment.

Step-by-step explanation:

7 0
3 years ago
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