The sum of n terms is given from the first term and the common ratio by

For your given values of a1=-11, r=-4, n=8, the sum of 8 terms is

Answer:
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100 ---> 96 is -4
96 ---> 104 is +8
104 ---> 88 is -16
88 ---> 120 is +32
120 ---> 56 is -64
So first we go down by 4, then up by 8, then down 16, then up 32, then finally down 64.
The pattern of numbers is: -4, +8, -16, +32, -64
Notice it's the powers of 2:
2^2 = 4
2^3 = 8
2^4 = 16
2^5 = 32
2^6 = 64
each term doubles. Also each term alternates in sign. One is positive, then the next is negative and so on.
The last difference is -64, which doubles to -128. Change the sign to positive to get +128
Add 128 to the last term of 56 to get
128+56 = 184
Therefore, the final answer is 184
Answer:
Let x be the number of guest and y be the quantity of meat,
According to the question,

Since, the related equation of the above inequality,

Having x-intercept = (6,0),
y-intercept = (0,-2)
Also,'≥' shows the solid line,
Now, 0 ≥ 0/3 - 2 ( true )
Hence, the shaded region of above inequality will contain the origin,
Therefore, by the above information we can plot the graph of the inequality ( shown below ).