Given a sequence is defined by a first term of latex: t_1=3t 1 = 3, and explicit definition latex: t_n=\: 4n-1t n = 4 n − 1, find the 4th term of the sequence (i. e. latex: t_4t 4).

group of answer choices

3

11

15

171

which sequence could be described by the explicit definition: latex: a_n=n^2-5a n = n 2 − 5

group of answer choices

1,-4,4,11,

1,2,3,4,5,

-4,-1,4,11,

-4,11,116,13451

Step-by-step explanation:

1) To find the 4th term given the Explicit  Formula, i.e. definition, just plug it in. The common difference according to question is 4, the 1st term is 3.

2) For this another Sequence in Explicit definition we just need to plug it in:

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

pla·gia·rism

/ˈplājəˌrizəm/

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noun

the practice of taking someone else's work or ideas and passing them off as one's own.

step-by-step explanation: