12 pay of christmas
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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 =
= -344
There 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
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 =
= -344
There 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
All the points are the solution of the given inequalities except y < 3x-2 at ( 3, 13).
<h3>What is inequality?</h3>inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
We will check all the points for the given inequality as follows:-
Point Y ≤ 3x - 2 y ≤ 3x + 4
( 0,-2) -2 ≤ 3 ( 0) -2 -2 ≤ 0+4
-2 ≤ -2 -2 ≤ 4
Correct Correct
( 5, 0 ) 0 ≤ ( 5 x3 ) -2 0 ≤ ( 5 x 3 ) + 4
0 ≤ 13 0 ≤ 19
Correct Correct
( 3, 13 ) 13 ≤ ( 3 x 3 ) -2 13 ≤ ( 3x3) + 4
13 ≤ 7 13 ≤ 13
Incorrect Correct
As we can see the given points satisfy all the given inequalities but points ( 3, 13 ) are not satisfying the inequality y ≤ 3x - 2 it is giving 13 ≤ 7 here 13 is not less than 7.
Therefore the points are the solution of the given inequalities except for y < 3x-2 at ( 3, 13).
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