Find the slope of the line passing through the points (-5,2) and (-8,8).

Mathematics

1 answer:

sattari [20]2 years ago

7 0

Answer:

slope = -2

Step-by-step explanation:

(-5,2) (-8,8)

equation to find slope: $\frac{y1 - y2}{x1 - x2}$

$\frac{2-8}{-5+8}$ = $\frac{-6}{3}$ = $\frac{-2}{1}$ = -2

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Write the sum using summation notation, assuming the suggested pattern continues. 6, -18, 54, -162, +… Is this sequence arithmet

telo118 [61]

Answer:

Hello,

This sequence is geometric with a ratio of -3

the first term is 6

Step-by-step explanation:

$u_1=6\\u_2=-18=6*(-3)=u_1*(-3)\\u_3=54=-18*(-3)=u_2*(-3)=u_1*(-3)^2\\u_4=-162=u_3*(-3)=u_1*(-3)^3\\\\...\\u_{n+1}=u_1*(-3)^n\\\\\displaystyle \sum\limits^\infty _{i=1}u_i = \lim_{n \to \infty} \sum\limits^n _{i=1}u_1*(-3)^{i-1}\\=6*\lim_{n \to \infty} \sum\limits^\infty _{i=1}(-3)^{i-1}\\=6*\frac{1-(-3)^n}{1-(-3)} \\=\dfrac{3}{2} *({1-(-3)^n)\\$