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stira [4]
4 years ago
15

​ a(1)= 3 5 ​ a(n)=a(n−1)⋅(−9) ​ What is the 3^{\text{rd}}3 rd 3, start superscript, start text, r, d, end text, end superscript

term in the sequence?
Mathematics
1 answer:
frosja888 [35]4 years ago
8 0

Answer: -630

Step-by-step explanation:

Given the nth term of a sequence;

​a(n)=a(n−1)⋅(−9) and the first term of the sequence a(1) as 35, the third term of the sequence can be gotten by using the formula at when n = 3

If n = 3 and a(1) = 35;

a(3) = 35(3-1)•(-9)

a(3) = 35×2×-9

a(3) = 70×-9

a(3) = -630

There the 3rd term of the series will give us -630 according to the nth term of the formula given.

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3x + 4y = 27 5x - 3y = 16
Arturiano [62]

Answer:

x = 5 , y = 3

Step-by-step explanation:

Solve the following system:

{3 x + 4 y = 27 | (equation 1)

5 x - 3 y = 16 | (equation 2)

Swap equation 1 with equation 2:

{5 x - 3 y = 16 | (equation 1)

3 x + 4 y = 27 | (equation 2)

Subtract 3/5 × (equation 1) from equation 2:

{5 x - 3 y = 16 | (equation 1)

0 x+(29 y)/5 = 87/5 | (equation 2)

Multiply equation 2 by 5/29:

{5 x - 3 y = 16 | (equation 1)

0 x+y = 3 | (equation 2)

Add 3 × (equation 2) to equation 1:

{5 x+0 y = 25 | (equation 1)

0 x+y = 3 | (equation 2)

Divide equation 1 by 5:

{x+0 y = 5 | (equation 1)

0 x+y = 3 | (equation 2)

Collect results:

Answer:  {x = 5 , y = 3

4 0
3 years ago
Which equation represents a direct variation? What is the constant of variation?
V125BC [204]

The answer is C


The constant is -3

7 0
3 years ago
Solve the system x+y=−5 2x+2y=−5
goldfiish [28.3K]

Answer:

Let's solve your system by substitution.

x+y=−5;2x+2y=−5

Step: Solvex+y=−5for x:

x+y=−5

x+y+−y=−5+−y(Add -y to both sides)

x=−y−5

Step: Substitute−y−5forxin2x+2y=−5:

2x+2y=−5

2(−y−5)+2y=−5

−10=−5(Simplify both sides of the equation)

−10+10=−5+10(Add 10 to both sides)

0=5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Anyone know the answer ????????????
mr Goodwill [35]
True is the answer your welcome
7 0
4 years ago
Bar Model<br>Math show me 8÷2=4​
gtnhenbr [62]
8/2 = 4

Explanation : reverse it so 4 times 4 = 8
7 0
3 years ago
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