3 years ago

Write an equation of the ellipse with foci (+-4,0) and co-vertices at (0,+-2) .

Mathematics

1 answer:

Triss [41]3 years ago

7 0

Hi,
c=4, b=2, a²=b²+c²==> a=2√5

$\dfrac{x^2}{20} + \dfrac{y^2}{4} =1
$

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Find the 7th term of the geometric sequence whose common ratio is 1/3 and whose first term is 5.

wolverine [178]

Answer:

$t_7 =\frac{5}{729}$

Step-by-step explanation:

We are given that:

First term (a) = 5

common ratio (r) = $\frac{1}{3}$

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$t_n =ar^{n-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{7-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \frac{1}{729}\\\\\huge\red{\boxed{\therefore t_7 =\frac{5}{729} }}$