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navik [9.2K]
2 years ago
5

-2/3 x (2 1/2) x (-3)

Mathematics
2 answers:
maks197457 [2]2 years ago
5 0

Answer:

Step-by-step explanation:

Remark

Change the order so that you are dealing with a cancelation first.

(-2/3) * (-3) * 2 1/2

Do the cancelation and multiply by 2 1/2

Solution

-2/3 * -3 = 2    There are two minus signs which make a plus.

2 * (5/2) = 10/2 = 5 (You could also cancel).

Answer 5

mamaluj [8]2 years ago
4 0

Answer:

the answer is 21

Step-by-step explanation:

126/6

=21

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Determine the formula for the nth term of the sequence:<br>-2,1,7,25,79,...​
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\begin{cases}a+b+c+d+e = -2 \\ 16 a + 8 b + 4 c + 2 d + e = 1 \\ 81 a + 27 b + 9 c + 3 d + e = 7 \\ 256 a + 64 b + 16 c + 4 d + e = 25 \\ 625 a + 125 b + 25 c + 5 d + e = 79\end{cases}

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a=\dfrac58, b=-\dfrac{19}4, c=\dfrac{115}8, d = -\dfrac{65}4, e=4

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• 3rd-order differences:

\Delta^3\{x_n\} = \{12-3, 36-12,\ldots\} = \{9,24,\ldots\}

• 4th-order differences:

\Delta^4\{x_n\} = \{24-9,\ldots\} = \{15,\ldots\}

From here I made the assumption that \Delta^4\{x_n\} is the constant sequence {15, 15, 15, …}. This implies \Delta^3\{x_n\} forms an arithmetic/linear sequence, which implies \Delta^2\{x_n\} forms a quadratic sequence, and so on up \{x_n\} forming a quartic sequence. Then we can use the method of undetermined coefficients to find it.

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