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4 years ago

Find the next term given in the sequence. 1.31, 2.54, 3.77, ....

Mathematics

2 answers:

gizmo_the_mogwai [7]4 years ago

7 0

1.31 + 1.23 = 2.54
2.54 + 1.23 = 3.77
So, keeping that up,
3.77 + 1.23 = 5

kaheart [24]4 years ago

4 0

Answer: The next term in the sequence is 5.

Step-by-step explanation: We are given to find the next term in the following sequence :

1.31, 2.54, 3.77, . . . .

We can see the following pattern in the consecutive terms of the given sequence :

$2.54=1.31+1.23,\\\\3.77=2.54+1.23,\\\\\\\vdots~~~~~\vdots~~~~\vdots$

Therefore, the next term in the given sequence will be the last given term plus 1.23.

That is, the next term will be

$3.77+1.23=5.00.$

Thus, the next term in the sequence is 5.

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Prove we are to prove 4(coshx)^3 - 3(coshx) we are asked to prove 4(coshx)^3 - 3(coshx) to be equal to cosh 3x
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<span>Therefore, because y = cosh x satisfies the equation IF we replace the "2" with cosh3x, we require cosh 3x = 2 for the solution to work. </span>

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Setting e^(3x) = u, we have u^2 + 1 - 4u = 0

u = (4 + sqrt(12)) / 2 = 2 + sqrt(3), so x = ln((2+sqrt(3))/2) /3,
Or u = (4 - sqrt(12)) / 2 = 2 - sqrt(3), so x = ln((2-sqrt(3))/2) /3,

Therefore, y = cosh x = e^(ln((2+sqrt(3))/2) /3) /2 + e^(-ln((2+sqrt(3))/2) /3) /2
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4 years ago

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Step-by-step explanation:

Strike the lowest and largest number until you get 1 or 2:

1, 2, 3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18, 19, 20

2, 3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18, 19

3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18

4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17

5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16,

,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15

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8, 9, 10, 11, 12, 13

9, 10, 11, 12

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