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avanturin [10]
3 years ago
11

If a = b and b = c, then a = c?

Mathematics
1 answer:
posledela3 years ago
8 0

Answer:

Step-by-step explanation:

yes it a would equal c

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Find the sum of the first 20 terms of the arithmetic sequence 4, -4, -12, -20​
Vsevolod [243]

Answer:

The sum of the first 20 terms is -1440.

Step-by-step explanation:

We want to find the sum of the first 20 terms of the arithmetic sequence:

4, -4, -12, -20...

The sum of an arithmetic sequence is given by:

\displaystyle S=\frac{k}{2}(a+x_k)

Where <em>k</em> is the number of terms, <em>a</em> is the initial term, and <em>x</em>_<em>k</em> is the last term.

Since we want to find the sum of the first 20 terms, <em>k</em> = 20.

Our initial term <em>a</em> is 4.

Our last term is also the 20th term as we want the sum of the first 20 terms.

To find the 20th term, we can write an explicit formula for our sequence. The explicit formula for an arithmetic sequence is given by:

x_n=a+d(n-1)

Where <em>a</em> is the initial term, <em>d</em> is the common difference, and <em>n</em> is the <em>n</em>th term.

Our initial term is 4. From the sequence, we can see that our common difference is -8 since each subsequent term is eight less than the previous term. Therefore:

x_n=4-8(n-1)

Then the last or 20th term is:

x_{20}=4-8(20-1)=4-8(19)=-148

Therefore, the sum of the first 20 terms are:

\displaystyle\begin{aligned} S_{20}&=\frac{(20)}{2}\left((4)+(-148))\\&=10(-144) \\&= -1440\end{aligned}

5 0
2 years ago
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Help resolve this please
Leokris [45]

Answer:

this is late but 1176?

Step-by-step explanation:

5 0
3 years ago
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How to solve for 3x - 24 = 81
VladimirAG [237]

Answer:

35

Step-by-step explanation:

3x=81+24

3x=105

x=35

6 0
3 years ago
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Glacier State Bank pays 6% interest, compounded daily. After finding the daily interest rate (to the nearest millionths place) f
marysya [2.9K]

Answer:

The answer is e

Step-by-step explanation: I calculated the percent and none of these match up 6% of 4000 is 240

5 0
3 years ago
Please help with this question
natita [175]

Answer:

  12\sin{(2\theta)}\cos{(\theta)}

Step-by-step explanation:

The appropriate trig identity is ...

  \sin{a}+\sin{b}=2\sin{\left(\dfrac{a+b}{2}\right)}\cos{\left(\dfrac{a-b}{2}\right)}

Here, you have a scale factor of 6 and a=3θ, b=θ. Filling in these values gives ...

  6\sin{3\theta}+6\sin{\theta}=12\sin{\left(\dfrac{3\theta+\theta}{2}\right)}\cos{\left(\dfrac{3\theta-\theta}{2}\right)}\\\\=12\sin{(2\theta)}\cos{(\theta)}

8 0
2 years ago
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