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temperature ≤ 6

Step-by-step explanation:

The highest temperature in February was 6°F. Write and graph an inequality to represent this situtation.

If the maximum temperature was 6, then the temperature reached no more than six, while still reaching 6.  Thus, the inequality should be

temperature ≤ 6

The graph would be a filled dot on the 6 pointing towards the left side of the graph (towards the -10 side)

1e+27

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for