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The terms given are
- 8 , + 16 , - 32 , + 64
The formula for finding the sum of this geometric sequence is:
Sn =
a₁ = first term of sequence = -8
r = common ration = -2
n = term of sum we need to find = 7
Sn =
= -344There is also another way, by simply adding, but you cannot perform this when they ask for a larger terms sums
Each term are multiplied by - 2, so to find the rest of the terms, we multiply by - 2
+ 64 x - 2 = - 128
- 128 x -2 = + 256
+256 x - 2 = - 512
( - 8 ) + ( 16 ) + ( - 32 ) + ( 64 ) + ( - 128 ) + ( 256 ) + ( - 512 ) (first 7 terms)
= -344
Answe
Step-by-step explanation:
Answer:
x = 7 and y = -2
Given:
x = 5y + 17 _____first equation
2x + 3y = 8 ____second equation
Steps:
2x + 3y = 8
<em>plug in x = 5y + 17 into second equation</em>
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2(5y + 17)+3y = 8 [ open the brackets ]
10y + 34 + 3y = 8
10y + 3y = 8 - 34 [ collect and group terms ]
13y = -26 [ divide both sides by 13 ]
y = -2 [ final answer ]
solve for x:
x = 5y + 17
x = 5(-2) + 17
x = 7
Answer:
Write the equation as n + 31 = 113 and subtract 31 from both sides. The answer is 82.
Step-by-step explanation:
The sum of a number and 31 would be 'n + 31'. The sum equaling 113 would be '= 113'.
You would get 'n' by subtracting 31 for each side.
The statement: "Write the equation as n + 31 = 113 and subtract 31 from both sides. The answer is 82." should be the correct answer.
Answer:
Step-by-step explanation: