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svetlana [45]
3 years ago
12

What are the first four terms of the sequence a1=−9 and an+1=an+n. I really need help with this im struggling

Mathematics
1 answer:
pochemuha3 years ago
6 0

a_{n+1}=a_n+n

The formatting was a bit confusing, so please do let me know if this isn't the correct equation for the sequence.

The first term is given, which is

a_1=-9

Now, use the equation for the next terms:

a_{1+1}=a_2=-9+1=-8

a_{2+1}=a_3=-8+2=-6

a_{3+1}=a_4=-6+3=-3

Thus, the first 4 terms are -9, -8, -6, and -3. Let me know if you need any clarifications, thanks!

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The inequality is used to solve how many hours of television Julia can still watch this week is x + 1.5 \leq 5

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<h3><u>Solution:</u></h3>

Given that Julia is allowed to watch no more than 5 hours of television a week

So far this week, she has watched 1.5 hours

To find: number of hours Julia can still watch this week

<em>Let "x" be the number of hours Julia can still watch television this week</em>

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Juila has already watched 1.5 hours. So we can add 1.5 hours and number of hours Julia can still watch television this week which is less than or equal to 5 hours

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x + 1.5 \leq5\\\\x \leq 5 - 1.5\\\\x \leq 3.5

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