The sum of the first 28 terms in the sequence is 5600
<h3>Sum of sequence</h3>
The sum of sequences are known as series. Given the following
a₁ = 92
a₁ = ai-1 - 8
For the second term
a2 = a1 - 8
a2 = 92 - 8
a2 = 84
Determine the sum of first 28th terms
S28 = 28/2[2(92)+(28-1)(8)]
S28 = 14(184+27(8))
S28 = 14(400)
S28 = 5600
Hence the sum of the first 28 terms in the sequence is 5600
Learn more on sequence here: brainly.com/question/6561461
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Answer:
The other 3 numbers you are looking for are:
24/11
84/11
96/11
Step-by-step explanation:
We can start off by making the numbers 2x, 7x, and 8x. We put them in expressions:
(7x-12)^2=2x(8x)
Simplify
49x^2-168x+144=16x^2
Subtract 16x^2 on each side
33x^2-168x+144=0
Divide by 3
11x^2-56x+48=0
Factor
(11x-12)(x=4)=0
Answer
x=4 or x=12/11
If x is equivalent to 4 then that means that the original numbers would be:
8, 28, 32
2(4), 7(4), 8(4)
Subtracting 12 from Y, or 28 will make it 16.
8, 16, 32
This seems to be a geometric progression
Next we have 12/11
2(12/11), 7(12/11), 8(12/11)
24/11, 84/11, 96/11
Subtracting 12 from Y, or 84/11 will get us -48/11, meaning r=-2 for the GP.
Final Answer:
8 , 28 , 32
24/11 , 84/11 , 96/11
504in2
LxWxH
7x6x12=504in2
Answer:
4th one: A kite is the answer.
The vertex of PMQ is 2.
The sides of angle 2 are PM and QM, since they both connect to form angel 2.
Two other names for angle one are NMQ and QMN since the middle letter of each sequence is representing angel 1.
I hope this makes sense when looking at the figure.