Answer:
a) Find the common ratio of this sequence.
Answer: -0.82
b) Find the sum to infinity of this sequence.
Answer: 2.2
Step-by-step explanation:
nth term in geometric series is given by ![4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82](https://tex.z-dn.net/?f=4%5C%20th%20%5C%20term%20%3D%20ar%5En-1%5C%5C-2.196%20%3D%204r%5E%7B4-1%7D%20%5C%5C-2.196%2F4%20%3D%20r%5E%7B3%7D%20%5C%5Cr%20%3D%20%5Csqrt%5B3%5D%7B0.549%7D%20%5C%5Cr%20%3D%200.82)
where
a is the first term
r is the common ratio and
n is the nth term
_________________________________
given
a = 4
4th term = -2.196
let
common ratio of this sequence. be r
![4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82](https://tex.z-dn.net/?f=4%5C%20th%20%5C%20term%20%3D%20ar%5En-1%5C%5C-2.196%20%3D%204r%5E%7B4-1%7D%20%5C%5C-2.196%2F4%20%3D%20r%5E%7B3%7D%20%5C%5Cr%20%3D%20%5Csqrt%5B3%5D%7B-0.549%7D%20%5C%5Cr%20%3D%20-0.82)
a) Find the common ratio of this sequence.
answer: -0.82
sum of infinity of geometric sequence is given by = a/(1-r)
thus,
sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2
Answer:
12.9
Step-by-step explanation:
sin 59 = opposite/hypotenuse
opposite is x, the dimension facing the angle 59
hypotenuse is the longest side = 15
sin 59 = x/15
x = 15sin59 = 15 x 0.8572 =12.858 = 12.9 in the nearest tenth
Answer:
E: L is perpendicular to a line with slope 
.
Lines are perpendicular if the negative reciprocal of the slope is equal. For example, the reciprocal of 
is 
(remember, to get the reciprocal, simply switch the numerator and the denominator).
So, the negative reciprocal of is . This represents the slope of a line that is perpendicular.
Answer:
26 Members Voted
Step-by-step explanation:
50 % is 50/100
Voted = 
The Greatest Common factor(GCF) of -2x^2-4x-6 is -2(x+1)(x-3)
<h3>What is Greatest Common Factor?</h3>
The greatest common factor (GCF) is the largest factor two or more numbers have in common
From the question,
-2x^2-4x-6
By collecting like terms
-2(x^2-2x-3)
By factoring x^2-2x-3
-2(x^2-3x+1x-3)
Collecting like terms
-2(x^2-3x)+(x-3)
-2(x(x-3)+1(x-3))
-2(x+1)(x-3)
hence -2(x+1)(x-3) is the Greatest Common factor of -2x^2-4x-6 is
Learn more about Greatest Common factor on:brainly.com/question/219464
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