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vladimir2022 [97]
3 years ago
13

Recursive formula for 3,5,7,9,11

Mathematics
1 answer:
guapka [62]3 years ago
7 0

Answer:

a_{n} = a_{n-1} + 2

Step-by-step explanation:

There is a common difference d between consecutive terms

d = 5 - 3 = 7 - 5 = 9 - 7 = 11 - 9 = 2

A recursive formula allows a term in the sequence be found by adding d to the previous term, then

a_{n} = a_{n-1} + 2 : with a₁ = 3

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Im very confused about my precourse work for AP environmental science.
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The computation shows that the values are 64000 acres and 563 metric tons.

<h3>How to compute the values?</h3>

1. A 100 square mile area of national forest is how many acres?

1 mile square = 640 acres

100 square miles = 100 × 640 = 64000 acres.

2. Fifty eight thousand kilograms of solid waste is equivalent to how many metric tons?

1 metric ton = 103kg

58000 kg = 58000/103 = 563 metric tons

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2 years ago
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3 years ago
The sum of two squares of two consecutive natural numbers is 41.Find the numbers​
Arada [10]
<h3><u>AnswEr</u><u> </u><u>:</u></h3>

The 2 unknown numbers are 4 and 5 .

<h3><u>Expla</u><u>nation</u><u> </u><u>:</u></h3>

Let the numbers be x and x + 1.

From the given information,

\dashrightarrow\sf \ \ \ x^2 + (x + 1)^2 = 41 \\  \\  \\

\dashrightarrow\sf \ \ \ 2 {x}^{2}  + 2x + 1 = 41 \\  \\  \\

\dashrightarrow\sf \ \ \ 2 {x}^{2}  + 2x + 1 - 41=0 \\  \\  \\

\dashrightarrow\sf \ \ \  {x}^{2}  + x - 20 = 0 \\  \\  \\

\dashrightarrow\sf \ \ \ (x + 5)(x - 4)=0 \\  \\  \\

\dashrightarrow\sf \ \ \ { \underline{ \boxed{ \bf{ \red{x =  - 5,4}}}}} \ \bigstar \\  \\

But, as we know -5 is not a natural number,

Hence, x = 4 .

<u>So the 2 unknown numbers are</u><u> </u><u>:</u>

  • x = 4 [1st number]

  • x + 1 = 4 + 1 = 5 [2nd number]

<h2><u>━━━━━━━━━━━━━━━</u></h2>
7 0
3 years ago
Read 2 more answers
?
alexgriva [62]

Answer:

16 the answer is 1, 4, 5, 6, yeah good answer

5 0
2 years ago
12. What does it mean for two objects to be congruent?
Viefleur [7K]

Answer:

Two objects are congruent if they have the same shape and size

Step-by-step explanation:

8 0
4 years ago
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