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I am Lyosha [343]
3 years ago
14

Write the next three terms of the arithmetic sequence 1,12,23,34

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
6 0

9514 1404 393

Answer:

  45, 56, 67

Step-by-step explanation:

Terms of an arithmetic sequence have a common difference. That is, the next term is found by adding that difference to the previous term.

Here, the difference is 12 -1 = 11, so each term is 11 more that the previous one. The next terms are found by repeatedly adding 11.

  34 + 11 = 45

  45 + 11 = 56

  56 + 11 = 67

The next three terms are 45, 56, 67.

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What are the solutions of the quadratic equation? x^2-9x+18=0
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Answer:

x=6   x=3

Step-by-step explanation:

x^2-9x+18=0

Factor

What 2 numbers multiply to 18 and add to -9

-6*-3 = 18

-6-3 = -9

(x-6) (x-3) =0

Using the zero product property

x-6 =0  x-3 =0

x=6   x=3

4 0
3 years ago
1. Define sets
Rudik [331]

Answer:

  • Set is a collection of specified object.
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4 0
3 years ago
What is the common difference for the arithmetic sequence?<br><br> 4.7, 6, 7.3, 8.6, 9.9,...
Serhud [2]
The common difference is 1.3
4 0
3 years ago
Read 2 more answers
4 2/3−1 1/3÷2 <br> find the value of this question
kozerog [31]
1 1/3 = 4/3... 4/3 ÷2 —> 4/3 x 1/2= 2/3
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3 0
4 years ago
Read 2 more answers
Sarah deposits $600 in a savings account that pays 2.5% per year. What is the minimum number of years it would take for the amou
shutvik [7]
Here is the compound interest formula solved for years:
<span>Years = {log(total) -log(Principal)} ÷ log(1 + rate)
</span>Years = {log(800) - log(600)} <span>÷ log(1.025)
</span><span>Years = {2.903089987 -2.7781512504} / 0.010723865392
</span>Years = { <span> <span> <span> 0.1249387366 } / </span></span></span><span><span><span>0.010723865392
</span> </span> </span> Years = <span> <span> <span> 11.6505319708 </span> </span> </span>
That's how many years it takes for the $600 to become exactly $800.00
The question specifically asks how long for the money to be MORE than $800.00?

So, if we enter 800.01 into the equation, then the answer is
Years = {log(800.01) - log(600)} <span>÷ log(1.025)
</span><span>Years = {2.9030954156 -2.7781512504} / 0.010723865392
</span>Years = <span> <span> <span> 0.1249441652 </span> </span> </span> / 0.010723865392
<span> <span> <span> Years = 11.6510381875 </span> </span> </span>
<span><span> </span></span>












6 0
4 years ago
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