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3 years ago

2x - 2y = 12 29. - 3y = -2

Mathematics

1 answer:

Sophie [7]3 years ago

3 0

Olá boa tarde meu nome é "Guilherme" sou de Brasil e vou resolver a sua pergunta

a ) 2x - 2y = 12

{ a 2

{ b 2

{ c 12

/\ = b elevado 2 -4 a.c

/\ = (2) elevado 2 -4 . 24

/\ = 4 -4 . 24

/\ = 24

X = -b+/ /\ = 2 - 5

2a 2

5

S = {20,10}

b) 29. - 3y = -2

{ a = 29

{ b = -3

{ c = -2

/\ = b elevado 2 -4 a.c

/\ = (-6) -4 . 58

/\ = -10 . 58

/\ = -48

X = b + / /\ = -3 + 24

5

S = { 15,15}

Espero ter ajudado

2a 2

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<h3>Solution:</h3>

Need to determine the sigma notation for the following sequence

−10, −13, −16, …

Let's try to build a generic formula for given sequence

The given sequence is in Arithmetic progression where first term = -10 and common difference = -3

The formula for arithmetic progression is given as:

$a_n = a_1 + (n - 1)d$

Where,

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$a_1$ is the first term in the sequence

d is the common difference between the terms

Here in this sequence $a_1$ = -10 and d = -3

$a_n = -10 + (n - 1)(-3)\\\\a_n = -10 - 3n + 3\\\\a_n = -3n - 7$

So generic formula for a term is – ( 3n + 7 )

$\begin{array}{l}{\text { For } \mathrm{n}=1, \text { term is }-(3 \times 1+7)=-10} \\\\ {\text { For } \mathrm{n}=2, \text { term is }-(3 \times 2+7)=-13} \\\\ {\text { For } \mathrm{n}=3, \text { term is }-(3 \times 3+7)=-16}\end{array}$

And so on

Using sigma notation for arithmetic sequence:

$\sum_{k=1}^{n} a_{k}$

So for first six terms value of n will vary from 1 to 6 and in sigma notation it can be represented as

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3 years ago

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