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alex41 [277]
3 years ago
5

What is the explicit formula for this sequence? 2,10,50,250,1250​

Mathematics
2 answers:
Zina [86]3 years ago
8 0

Answer:

This is a geometric sequence with a₁ = 2 and r = 5 where a₁ is the first term and r is the common ratio.

Explicit formula: aₙ = a₁ * r ⁿ⁻¹

The answer is aₙ = 2 * (5ⁿ⁻¹)

Valentin [98]3 years ago
4 0

Answer:

a_n = 2(5)^{n-1}

Step-by-step explanation:

Explicit Geometric Formula: a_n = a_1r^{n-1}

a₁ is 1st term

<em>r</em> is common ratio

<em>n</em> is term number

Step 1: Find common ratio <em>r</em>

r = 10/2 = 5

Step 2: Plug variables into formula

a_n = 2(5)^{n-1}

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Solve.
Serggg [28]

Answer:

The solution is (4, 0)

Step-by-step explanation:

Using Linear combination method to solve:

2d + e = 8\\d - e = 4\\

Since "e" have the same coefficient in both equation with opposite operator; we will add.

(2d + d) + (e - e) = (8 + 4)\\3d = 12\\

Divide both side by coefficient of d which is 3

\frac{3d}{3}  = \frac{12}{3} \\d = 4\\

Since d = 4; put 'd' into any of the equation to get 'e'

2d + e = 8\\2(4) + e = 8\\8 + e = 8\\e = 8 - 8\\e = 0\\

Therefore, the solution is (4, 0)

5 0
3 years ago
Solve for x:<br> 4x – 7 = 8x + 33
Lera25 [3.4K]

Answer:

x = 10

Step-by-step explanation:

Hey there!

To solve this question we will use PEMDAS (order of operations)

4x−7=8x+33

Subtract 8x from both sides.

4x−7−8x=33

Combine 4x and −8x to get −4x.

−4x−7=33

Add 7 to both sides.

−4x=33+7

Add 33 and 7 to get 40.

−4x=40

Divide both sides by −4.

x= 40/-4

Divide 40 by −4 to get −10.

x=−10

6 0
1 year ago
My age is the difference between twice my age in 4 years and twice my age 4 years ago how old am I?
Llana [10]

Answer: 16

Step-by-step explanation:

let a = your present age

a = 2(a+4) - 2(a-4)

a = 2a + 8 - 2a + 8

a = 2a - 2a + 8 + 8

a = 16 yrs is your age

6 0
2 years ago
Please help me on this problem
mr_godi [17]
2(n+7) =3n

n = 14

<span>n = 14</span>
8 0
2 years ago
Read 2 more answers
Solve for x: x²−9=5(x−3).
IceJOKER [234]

Answer:

Step-by-step explanation:

3 0
3 years ago
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