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Sindrei [870]
3 years ago
7

H(1) = -26h(n) = h(n − 1).(-9)Find an explicit formula for h(n).​

Mathematics
2 answers:
a_sh-v [17]3 years ago
8 0

Answer:

H(n) = 234⁽ⁿ⁻¹⁾

Step-by-step explanation:

Hello,

The first thing to do when finding an explicit equation is to determine if the sequence is arithmetic or geometric.

In this question, the sequence is a geometric progression.

h(n) = h⁽ⁿ⁻¹⁾.(-9)

a = -26

r = common difference

a(n) =ar⁽ⁿ⁻¹⁾

h(n) = -26 × (-9)hⁿ⁻¹⁾

h(n) = 234⁽ⁿ⁻¹⁾

kolezko [41]3 years ago
3 0

Answer:

−26⋅(−9) ^n-1

Step-by-step explanation:

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If b=p+5 and a=p^2+10p+1 find an expression that equals 2b+3a in standard form
olya-2409 [2.1K]

Answer:

3p² + 32p + 13

Step-by-step explanation:

Okay, so lets first solve for 2b. 2b = 2(p + 5), which is equal to 2p + 10. Now, let's solve for 3a. 3a = 3(p² + 10p +1), simplifying to 3p² + 30p +3. After adding 2b and 3a, we are able to get 2p + 10 + 3p² + 30p + 3 = 3p² + 32p + 13

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2 years ago
Complete the squar3
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9514 1404 393

Answer:

  1. 4
  2. -2
  3. 4
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  5. -2±√2

Step-by-step explanation:

In order to fill the first blank, we need to look at the second line to see what the coefficient of x is.

  1. x² +<u> </u><u>4 </u>x +2 = 0

The constant is subtracted from both sides to get the second line.

  2. x² +4x = <u> -2 </u>

The value that is added on the third line is the square of half the x-coefficient: (4/2)² = 4

  3. x² +4x +<u> 4 </u> = -2 +4

On the fourth line, the left side is written as a square, and the right side is simplified. The square root is taken of both sides.

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Finally, 2 is subtracted from both sides to find the values of x.

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2 years ago
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6 0
3 years ago
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3 years ago
Choose the two expressions that are equivalent to 6.5 ÷ 1.3.
kenny6666 [7]

Answer:

A & C

Step-by-step explanation:

To find the two expressions that are equivalent to 6.5 ÷ 1.3, you need to solve all of them until you get the two expressions that have a quotient of 5.

Let's begin solving!

65 ÷ 13  = 5

So now we know that A is one of our answers

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