The sum of the first six terms of the geometric series is -364.
A geometric series is a sequence of terms in a fixed common ratio.
Apparently, the expression "geometric progression" comes from the "geometric mean" (Euclidean term) of segments of lengths a and b: it is the length of the side c of a square whose area is equal to the area of the rectangle. a and b. May
The series given is
2 – 6 + 18 – 54 + ...
The sum of n terms of a geometric series is given by
Sn=a1 * 1 - rn/1 - r
here the first term is 2
r = -6 /2 = -3
S = 2 (1-(-3)⁶)/(1-(-3))
S = -364
Therefore the sum of the First six terms of the geometric series is -364 .
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the awnser is $2.17. you add 12 more cents to the $2.05 and you get $2.17
Answer:
Hence total 3.9 ounces of paint was used to make the mixture.
Step-by-step explanation:
Denise mixed
ounces of blue paint with
ounces of yellow paint.
Now we are asked to find how many ounces of paint did Denise mix.
i.e. we are asked to find the total number of paint used to form the mixture.
We know that:
and 
Hence total paint used= 
=
Hence total 3.9 ounces of paint was used to make the mixture.
Answer:
(5, 2)
Step-by-step explanation:
Lets substitute y = -x + 7 into 4x-5y=10
Then we can write 4x-5y=10 as 4x-5×(-x+7)=10,
4x-(-5x)-35=10
9x-35=10
9x=45
x=5, therefore, y= -5+7=2