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3 years ago

11

Why do you change the sign when subtracting a negative number?

2 answers:

natulia [17]3 years ago

5 0

This is because minus times minus is equals plus so the sign must change

jeka57 [31]3 years ago

3 0

Suppose I am in debt to someone to the value of $5. Then we can say that my net worth is -5. Now my friend wants to help me out with my debt by 'taking away' the -5. He can do this by giving me $5 and now my debt is zero.

so we can say that these 2 are equivalent -5-(-5) = -5 + 5 = 0.

Hope this helps.

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3 years ago

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3 years ago

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3 years ago

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2 years ago

HELP PLEASE 21 POINTS PLEASE HELP ME!!!! <3

Anna007 [38]

1)

n 1 2 3 4 5 6

f(n) 1033 932 831 730 629 528

First term (a₁): <u>1033 </u> Common difference (d): <u>-101 </u>

Explicit rule: $a_{n} = 1134 - 101n$ Recursive rule: $a_{n} = a_{n-1} - 101$

$a_{n} = a_{1} + d(n - 1)$

$a_{n} = 1033 - 101(n - 1)$

$a_{n} = 1033 - 101n + 101$

$a_{n} = 1134 - 101n$

***********************************************************************************

2)

n 1 2 3 4 5 6

f(n) -39 -29 -19 -9 9 19

First term (a₁): <u> -39 </u> Common difference (d): <u> +10 </u>

Explicit rule: $a_{n} = -49 + 10n$ Recursive rule: $a_{n} = a_{n-1} + 10$

$a_{n} = a_{1} + d(n - 1)$

$a_{n} = -39 + 10(n - 1)$

$a_{n} = -39 + 10n - 10$

$a_{n} = -49 + 10n$

***********************************************************************************

3)

n 1 2 3 4 5 6

f(n) 3.75 2.5 1.25 0 -1.25 -2.5

First term (a₁): <u> 3.75 </u> Common difference (d): <u> -1.25 </u>

Explicit rule: $a_{n} = 5 - 1.25n$ Recursive rule: $a_{n} = a_{n-1} - 1.25$

$a_{n} = a_{1} + d(n - 1)$

$a_{n} = 3.75 - 1.25(n - 1)$

$a_{n} = 3.75 - 1.25n + 1.25$

$a_{n} = 5 - 1.25n$

6 0

3 years ago