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Nuetrik [128]
3 years ago
15

Can someone please help me. This is an equation for either an arithmetic or geometric sequence.

Mathematics
2 answers:
djyliett [7]3 years ago
4 0
A6 = -8
a15= -62

There are (15 - 6) terms in between, therefore 9 terms in between.
-8 to -62 ... there is a difference of 54
54 ÷ 9 = 6
Therefore it gets -6 each term.
a6 = -8, a7= -14, a8 = -20 ......




Ray Of Light [21]3 years ago
3 0
That's an arithmetic sequence. To find the rule of the sequence, we need to find the first term (a₁) and the difference of the sequence (d)

Make an equation system based on what are given by the question.
an = a₁ + d(n - 1)

a₆ = a₁ + d(6 - 1) = -8
a₆ = a₁ + 5d = -8 (first equation)

a₁₅ = a₁ + d(15 - 1) = -62
a₁₅ = a₁ + 14d = -62 (second equation)

Solve the equation to find the value of a₁ and d
Using elimination method, find the value of d from first equation and second equation
a₁ + 14d = -62
a₁ +  5d =   -8
-------------------- -   (substract)
        9d = -54
          d = -54/9
          d = -6

Using subtitution method, find the value of a₁. Subtitute d with -6 from the first equation.
a₁ + 5d = -8
a₁ + 5(-6) = -8
a₁ - 30 = -8
a₁ = -8 + 30
a₁ = 22

Determine the rule of the sequence
General rule for arithmetic sequence is
an = a + d(n - 1)

Now input the value of a₁ and d to the general rule, then simpllify.
an = a + d(n - 1)
an = 22 + -6(n - 1)
an = 22 -6n + 6
an = 28 - 6n

The rule of the sequence is 28 - 6n
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Mazyrski [523]

Answer:

The measure of the angles are 40 degrees and 50 degrees

Step-by-step explanation:

Let

x ----> the measure of one angle in degrees

y ----> the measure of the complementary angle in degrees

we know that

If two angles are complementary, then their sum is equal to 90 degrees

so

x+y=90 ----> equation A

we have that

x=y-10 ----> equation B

Substitute equation B in equation A and solve for y

(y-10)+y=90\\2y-10=90\\2y=100\\y=50

Find the value of x

x=50-10=40

therefore

The measure of the angles are 40 degrees and 50 degrees

3 0
3 years ago
Can help me complete this problem please :c
FrozenT [24]

Answer:

112.5 deg

Step-by-step explanation:

First we find the area of the entire circle.

A = pi * r^2

A = pi * (4 m)^2

A = 16pi m^2

The entire circle has area = 16pi m^2.

The sector has area 5pi m^2.

Now we find the fraction the area of the sector is of the entire circle.

fraction = (5pi m^2)/(16pi m^2) = 5/16 = 0.3125

The full circle has a central angle of 360 deg, the entire circle.

The measure of the central angle of the arc of the sector is the same fraction of the entire circle.

measure of sector angle = 0.3125 * 360 deg = 112.5 deg

4 0
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<h3>Answer:</h3>

x = 2

<h3>Explanation:</h3>

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<em>Comment on this secant relationship</em>

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Firdavs [7]

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Klio2033 [76]

Answer:

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