The sum of first 8 terms of series is -130208
<em><u>Solution:</u></em>
Given that,
2 - 10 + 50 - 250 , ....
n = 8
Find the common ratio between a term and its previous term

Thus common ratio is same
This is a geometric series
<em><u>The sum of terms of geometric sequence is given as:</u></em>

Where,
r is the common ratio
n is the nth term
is the first term of series
From series,

Therefore,

Thus sum of first 8 terms of series is -130208
If I really understood the question, they ask the area of the small rectangle 3.5x2 . If so it's 7mm²
The transformations are vertical translation 7 units up.horizontal translation 3 units to the left
We have given that the equations
let f(x)=x^2 and g(x)=(x-3)^2+7
We have to determine the correct transformation,
<h3>What is the vertical translation?</h3>
Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated to k units vertically by moving each point on the graph k units vertically.
Notice that the addition of 2 units to the variable x in the exponent involves a horizontal shift to the left in 2 units.
Notice as well that subtraction of 4 units to the functional expression involves a vertical shift downwards in 4 units.
To learn more about the transformation visit:
brainly.com/question/2689696
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