Given a sequence is defined by the explicit definition t_n= n^2+nt n = n 2 + n, find the 4th term of the sequence. (i. e. t_4t 4)

a. 4

b. 8

c. 20

d. 1806

Question 1:  20

Question 2: 27

Step-by-step explanation:

Question 1:  

Given a sequence is defined by the explicit definition

Therefore, the 4th term i.e. (Answer)

So, the third option is correct.

Question 2:  

Given a sequence is defined by the explicit definition

Therefore, the 5th term i.e. (Answer)

So, the third option is correct.

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the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0