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3 years ago

What is the nth term of the following sequence……… 8, 3, -2, -7………..explain clearly aswell

Mathematics

2 answers:

Sphinxa [80]3 years ago

8 0

8, 3, -2, -7

basically

you have to figure how to get from one term to the other. so in this case, to get from 8 to 3, you have to minus 5. and same again to get from 3 to -2, you again have to -5.

so the first past of the answer is -5n.

then after that, you have to figure out how to get from -5, to the first term of your sequence. so you have to add 13, in this case.

your answer would then be

nexus9112 [7]3 years ago

6 0

Answer:

-5x + 13

Step-by-step explanation:

to find the nth term, you must find the difference between each consecutive given terms.

So,

8 and 3 = -5

3 and -2 = -5

-2 and -7 = -5

This is the m in the equation mn+c

c is the value you must add to -5n when n is 1

Hope this helps

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Solve the System and write the solution as an ordered pair. 3x+3y=6 5x-6y=15

Ugo [173]

$\\ \sf\longmapsto 3x+3y=6\dots(1)$

$\\ \sf\longmapsto 5x-6y=15\dots(2)$

Multiply eq(1) by 2 and eq(2) by 1

$\\ \sf\longmapsto 6x+6y=12$

$\\ \sf\longmapsto 5x-6y=15$

$\\ \sf\longmapsto 11x=27$

$\\ \sf\longmapsto x=\dfrac{27}{11}$

Now

Put in eq(1)

$\\ \sf\longmapsto 3\dfrac{27}{11}+3y=6$

$\\ \sf\longmapsto \dfrac{81}{11}+3y=6$

$\\ \sf\longmapsto 3y=6-\dfrac{81}{11}$

$\\ \sf\longmapsto 3y=\dfrac{66-81}{11}$

$\\ \sf\longmapsto 3y=\dfrac{15}{11}$

$\\ \sf\longmapsto y=\dfrac{15}{33}$

4 0

3 years ago

Read 2 more answers

9. 1/3(x+6) =8

babunello [35]

9. ¹/₃(x + 6) = 8
 ¹/₃(x) + ¹/₃(6) = 8
 ¹/₃x + 2 = 8
 - 2 - 2
 3 · ¹/₃x = 6 · 3
 x = 18

15. ¹/₅(x + 10) = 6
 ¹/₅(x) + ¹/₅(10) = 6
 ¹/₅x + 2 = 6
 - 2 - 2
 5 · ¹/₅x = 4 · 5
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20. ¹/₈(24x + 32) = 10
 ¹/₈(24x) + ¹/₈(32) = 10
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32. 5 - ¹/₂(x - 6) = 4
 5 - ¹/₂(x) - ¹/₂(-6) = 4
 5 - ¹/₂x + 3 = 4
 5 + 3 - ¹/₂x = 4
 8 - ¹/₂x = 4
 - 8 - 8
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 x = 8

33. ²/₃(3x - 6) = 3
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3 years ago

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The area of a rectangle is 14 m2 , and the length of the rectangle is 3 m less than double the width. find the dimensions of the

muminat

Width =3.5, length = 4

Let's make a few equations to summarize what we know.:
a = 14
l = 2w -3
a = wl

Now let's substitute the expression for l into the expression for area and solve.
a = w(2w - 3)
a = 2w^2 - 3w
14 = 2w^2 - 3w

0 = 2w^2 - 3w - 14

which factors into
(2w - 7) (w + 2)

Solving for w
2w - 7 = 0
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w+2 = 0
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So w can be either 3.5 or -2. Since a negative width doesn't make sense, w = 3.5

Let's verify
w = 3.5
l = 2w - 3
l = 2*3.5 - 3
l = 7 - 3
l = 4
a = wl
a = 3.5 * 4
a = 14

So the width is 3.5 and the length is 4.

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Simplify the expression. (1.08 x 10^-3) x (9.3 x 10^-3) ÷ 0.1

AlekseyPX

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