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Marianna [84]
3 years ago
7

Write an explicit furmula for the question below 40 points!!!!!!!!!!!!!

Mathematics
1 answer:
Usimov [2.4K]3 years ago
8 0

Answer:

aₙ = a₁ . 5⁽ⁿ⁻¹⁾

Step-by-step explanation:

The first term in the sequence is a₁ = 6.

a₂ = 30. a₃ = 150.

We see that each consecutive term is multiplies by 5 to arrive at the next term.

That is: a₂ = 30 = a₁ . $ 5^{2 - 1}  = 5 $ = 6.5 = 30.

Similarly, a₃ = 150 = 6 $ \times $ $ 5^{3 - 1} = 5^2 = 25 $

Generalizing this, we have:

aₙ = a₁ . $ 5^{n - 1} $

This is called the recursive formula of the sequence.

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The first step to finding the quotient is to ?
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Answer:

divide one number by another. dividend ÷ divisor = quotient.

Step-by-step explanation:

Example: in 12 ÷ 3 = 4, 4 is the quotient.

5 0
3 years ago
2 divided by 5/12= what
AlekseyPX

Answer:

4.8

Step-by-step explanation:

2 ÷ 5/12 = 4.8

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6 0
3 years ago
The area of the Indian Ocean is 39% of the area of which ocean shown in the table
ValentinkaMS [17]
Is there a way that you could show me the table so I can help you please?
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Which represents the solution(s) of the graphed system of equations, y = x2 + 2x – 3 and y = x – 1?
Sonja [21]

Answer:

Second option: (-2,-3) and (1,0)

Step-by-step explanation:

Given the system of equations \left \{ {{y = x^2 + 2x-3} \atop {y = x - 1}} \right., you can rewrite them in this form:

x^2 + 2x-3= x - 1

Simplify:

x^2 + 2x-3-x+1=0\\\\x^2+x-2=0

Factor the quadratic equation. Choose two number whose sum be 1 and whose product be -2. These are: 2 and -1, then:

(x+2)(x-1)=0\\\\x_1=-2\\\\x_2=1

Substitute each value of "x"  into any of the original equation to find the values of "y":

y_1= (-2) - 1=-3\\\\y_2=(1)-1=0

Then, the solutions are:

(-2,-3) and (1,0)

7 0
3 years ago
Read 2 more answers
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