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Lemur [1.5K]
3 years ago
13

When does a sequence and series become an arithmetic sequence and arithmetic series​?

Mathematics
1 answer:
maria [59]3 years ago
4 0

Answer:

An arithmetic sequence is a sequence of numbers in which the difference between the consecutive terms is constant.

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Use the identity x3+y3+z3−3xyz=(x+y+z)(x2+y2+z2−xy−yz−zx) to determine the value of the sum of three integers given: the sum of
fenix001 [56]

ffn

x^3+y^3+z^3-3xyz=(x+y+z)(x^2+y^2+z^2-xy-yz-zx)

x^3+y^3+z^3-3xyz=(x+y+z)(x^2+y^2+z^2-(xy+yz+zx))

the sum of their squares is 110, So x^2+y^2 + z^2= 110

the sum of their cubes is 684, so  x^3+y^3 + z^3= 684

the product of the three integers is 210, so xyz= 210

the sum of any two products (xy+yz+zx) is 107

Now we plug in all the values in the identity

x^3+y^3+z^3-3xyz=(x+y+z)(x^2+y^2+z^2-(xy+yz+zx))

684 - 3(210) = (x+y+z)(110-107)

684 - 630 = (x+y+z)(3)

54 = 3(x+y+z)

Divide by 3 on both sides

18 = x+y+z

the value of the sum of three integers is 18

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4 years ago
Timmy's T-Shirts is having a huge back-to-school sale. All the T-shirts in the store are currently discounted by 15%. Let t repr
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How to tell if the shape on a dot plot is symmetric or not symmetric
RUDIKE [14]
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X= What does ×= 88, 89 or 90
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3 years ago
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Answer:
2. 0

Explanation:
Solve f[g(6)] by finding f(x) when x = g(6).

Find g(6).
g(x) = x - 8
Set x = 6.
g(6) = 6 - 8
g(6) = -2

Find f[g(6)].
f(x) = 6x + 12
Set x = g(6).
f[g(6)] = 6[g(6)] + 12
Substitute g(6) = -2.
f(-2) = 6(-2) + 12
f(-2) = -12 + 12
f(-2) = 0

Therefore, f[g(6)] is 0.
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3 years ago
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