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Studentka2010 [4]
3 years ago
8

Miss Honeypenny inherits £650. she decides to save some of the money and send the rest. The ratio of saving to spending money is

7:6
Mathematics
1 answer:
Nataliya [291]3 years ago
8 0
7x+6x=650
13x= 650
Divide by 13
X= 50
She saves 7(50)= 350
She speeds 6(50)=300
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<u>Answer:</u>

<u><em>41</em></u>

<u />

<u>Explanation:</u>

To solve this problem we must first understand what the pattern is in the arithmetic sequence. Once we understand the pattern, we can then apply it to the final known term to find the next term.

Take a look at the arithmetic sequence given:

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<em />

Let's start by figuring out how they got the second term in the sequence. To do that, subtract the second term by the first term. This will reveal the pattern.

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<em>17 - 9 = 8</em>

<em />

So, this means they added eight to get the next term. Therefore, the pattern should be 'add eight' to get the next term. Just to be sure the pattern we found is correct, apply it to the given arithmetic sequence.

<em>9, 17, 25, 33,...</em>

<em>9 </em><em>+ 8 = </em><em>17</em>

<em>17  </em><em>+ 8 = </em><em>25</em>

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<em />

So, since 'adding eight' every time gives us the next term, the pattern is correct.

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<em>9, 17, 25, 33,...</em>

<em />

<em>33 </em><em>+ 8 = </em><em>41</em>

<em />

<em>9, 17, 25, 33, 41,...</em>

<em />

Therefore, the next term in the arithmetic sequence is <u><em>41</em></u>.

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