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Aleksandr [31]
3 years ago
5

Find S12 for the series 2 + 5 + 8 +...

Mathematics
2 answers:
Svetllana [295]3 years ago
7 0
Hi, I'm pretty sure by S12 you mean the sum of all the 12 terms in the series 2 + 5 + 8 + .....

Then, first you find the pattern:
5 -2 = 3
8 -5 = 3
This is an arithmetic series with a common difference of 3. Next, we find the last term, or the 12th term.

A12 = A1 + (n - 1)d
A12 = 2 + (12 - 1)3
A12 = 35

Since, we know the first and last terms of the series, we could find the sum by this formula:

S = (n/2)*(A1 + A12)
S = (12/2) * (2 + 35)
S = 222

The answer is 222.
olga55 [171]3 years ago
4 0
2+5+8+11+14+17+20+23+26+29+32+35
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Multiply.<br> (5x2-6x+2) x (4x2-3x)
stich3 [128]

Answer:

<em>18x² - 84x + 96</em>

Step-by-step explanation:

(5 × 2 - 6x + 2) × (4 × 2 - 3x)

5 × 2 (4 × 2 - 3x) - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)

80 - 30x - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)

80 - 30x - 48x + 18x² - 6x

96 - 84x + 18x²

18x² - 84x + 96

Hope this helps! :)

6 0
3 years ago
Is (x+7) a factor of f(x)= x^3-3x^2+2x-8
nikklg [1K]

Answer:

Step-by-step explanation:

Use synthetic division to answer this.  If the remainder is zero, then we can safely assume the divisor (x + 7) is a factor of the polynomial f(x)= x^3-3x^2+2x-8.

We use -7 as the divisor in synth. div.  This comes from the factor (x + 7):

-7   /    1    3     2     -8

               -7   28  -210

     -------------------------

         1      -4   30   -218

Here, the remainder is -218, not zero, so no, (x+7) is not a factor of f(x)= x^3-3x^2+2x-8.

6 0
3 years ago
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djyliett [7]

Answer:

5 feet

Step-by-step explanation:

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3 years ago
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alina1380 [7]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
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alexandr402 [8]

Answer:

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Step-by-step explanation:

Max= biggest number, surely?

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