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:

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what is the image?

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.