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

Given a sequence is defined by the explicit definition tn n2nt n n 2 n find the 4th term of the sequence ie t4t 4 A 4B 8C 20D 1806 class=

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Answer:

Question 1:  20

Question 2: 27

Step-by-step explanation:

Question 1:  

Given a sequence is defined by the explicit definition [tex]t_{n} = n^{2} + n[/tex]

Therefore, the 4th term i.e. [tex]t_{4} = 4^{2} + 4 = 20[/tex] (Answer)

So, the third option is correct.

Question 2:  

Given a sequence is defined by the explicit definition [tex]t_{n} = 2^{n} - n[/tex]

Therefore, the 5th term i.e. [tex]t_{5} = 2^{5} - 5 = 27[/tex] (Answer)

So, the third option is correct.

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