-103
if he lost the same weight each week that means -412 (the weight he lost) ÷ 4 (number of weeks) = -103 (amount of weight lost in one week)
Answer:
(a+11)(a-1)
Step-by-step explanation:
Given that the First term of the Arithmetic sequence = -3
⇒ a = -3
We know that nth term of a Arithmetic sequence is : Tn = a + (n - 1)d
where a is the first term and d is the common difference
Given that 10th term is 15
⇒ T₁₀ = -3 + (10 - 1)d
⇒ -3 + (10 - 1)d = 15
⇒ 9d = 18
⇒ d = 2
⇒ Common difference of given Arithmetic Sequence is 2
The range is the set of all possible output, as you feed the function with all possible inputs. Since our inputs (domain) are -3, 0, 3, our outputs are
![f(-3) = 15+2 = 17\\f(0)=0+2 = 2\\f(3) = -15+2 = -13](https://tex.z-dn.net/?f=f%28-3%29%20%3D%2015%2B2%20%3D%2017%5C%5Cf%280%29%3D0%2B2%20%3D%202%5C%5Cf%283%29%20%3D%20-15%2B2%20%3D%20-13)
So, the range is
![\{-13, 2, 17\}](https://tex.z-dn.net/?f=%5C%7B-13%2C%202%2C%2017%5C%7D)
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