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Nonamiya [84]
3 years ago
6

Find an equation for the nth term of the arithmetic sequence.

Mathematics
2 answers:
mezya [45]3 years ago
8 0

Answer:

a_n=-15+9(n-1)

Step-by-step explanation:

The terms of the arithmetic sequence are...

-15, -6, 3, 12, ...

The first term is

a_1=-15

The common difference is

d=-6--15=9

The equation for the nth term is given by;

a_n=a_1+(n-1)d

We substitute the values into the formula to get;

a_n=-15+9(n-1)

kogti [31]3 years ago
8 0

Answer:

D

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a + (n - 1)d

where a is the first term and d the common difference

d = - 6 - (- 15) = - 6 + 15 = 9, and a = - 15

a_{n} = - 15 + 9(n - 1)

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Please help, thank you! ​
DochEvi [55]

we know angle RLP= 100⁰

also

angle RLP+ angle RLB=180⁰(Linear pair)

=>100⁰+angleRLB= 180⁰

=> angle RLB=80⁰

since BR and LR are equal, angle RBL and angle RLB are equal

therefore angle RBL is also equal to 80⁰

using angle sum property of triangles we know that the sum of all angles in a triangle is equal to 180⁰

=>angle BRL+angle RBL+angle RLB= 180⁰

=> angle BRL+80⁰+80⁰=180⁰

=>angle BRL = 180⁰-160⁰

=>angle BRL= 20⁰

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4 0
3 years ago
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Solve the triangle. A = 46° a = 33 b = 26
frozen [14]
Using sin rule:
a/sin A =b/sin B=c/sin c
SIN A=sin 46=0.72
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then B= 34° 
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then c =(a*sin C)/sin A
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Solve -3(x+5) = -9 solve
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Stella [2.4K]

Solution:

<u>We know that:</u>

  • Given equation: 1/4(x - 2) = 3 - (x + 1/6)

<u>Simplify the distributive property.</u>

  • 1/4(x - 2) = 3 - (x + 1/6)
  • => x/4 - 2/4 = 3 - x - 1/6

<u>Further simplify both sides.</u>

  • x/4 - 2/4 = 17/6 - x

<u>Subtract 17/6 both sides.</u>

  • x/4 - 2/4 - 17/6 = 17/6 - 17/6 - x
  • => x/4 - 6/12 - 34/12 = -x
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<u>Subtract x/4 both sides.</u>

  • x/4 - x/4 - 40/12 = -x - x/4
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<u>Use cross multiplication.</u>

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<u>Divide -60 both sides.</u>

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