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arsen [322]
3 years ago
8

1. What is the next term of the arithmetic sequence 6, 10, 14, 18

Mathematics
2 answers:
givi [52]3 years ago
8 0
It’s 22 (add 6 after every term)
IRINA_888 [86]3 years ago
5 0
It's 22 it's adding 4
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How do you do series with an n
SOVA2 [1]
The problem can be solved step by step, if we know certain basic rules of summation.  Following rules assume summation limits are identical.
\sum{a+b}=\sum{a}+\sum{b}
\sum{kx}=k\sum{x}
\sum_{r=1}^n{1}=n
\sum_{r=1}^n{r}=n(n+1)/2

Armed with the above rules, we can split up the summation into simple terms:
\sum_{r=1}^n{40r-21n+8}=n
=40\sum_{r=1}^n{r}-21n\sum_{r=1}^n{1}+8\sum_{r=1}^n{1}
=40\frac{n(n+1)}{2}-21n^2+8n
=20n(n+1)-21n^2+8n
=28n-n^2

=> (a) f(x)=28n-n^2
=> f'(x)=28-2n 
=> at f'(x)=0 => x=14
Since f''(x)=-2 <0  therefore f(14) is a maximum
(b) f(x) is a maximum when n=14

(c) the maximum value of f(x) is f(14)=196
4 0
3 years ago
PLEASE HELP! I have a deadline tonight ,I have to get this done! thank you!!<br> Two questions (:
Viktor [21]
Both of your answers are correct. In the first equation, if you were to substitute 3 for x, because you have to do exponents first, you have 3^2, which is 9, and 9*6 =54. If you were to substitute -3 for x again you would have to do the exponents first which would be -3^2 which is 9, and 9*6 = 54. 

For the second question, if I substitute 0.75 for t, I get -9 + 18 + 7. This is equal to 16, and therefore the answer would be D. Hope this helps! :D. Let me know if you have questions about my explanation, and feel free to post more questions.
3 0
3 years ago
You are studying for your final exam on the semester. Up to this point, you received 3 exam scores of 99%, 80%, And 70%. To rece
Alchen [17]
80*4=320
89*4=356
This is the range of the addition of all 4 scores.

99+80+70=249

320-249= 71
356-249= 107

[71, 100] would be the answer, unless you can get extra credit on the final.
5 0
3 years ago
Read 2 more answers
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nasty-shy [4]

Answer:

4.5 × 10^5 or 450000 :)))))

6 0
3 years ago
Ricardo spends 8/9 hour reading the newspaper . He spends 1/4 of the time reading the world news and splits the remaining time e
Bond [772]
The answer is 8/9-1/4=23/36 reading the comics
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