Given a sequence is defined by the explicit definition tn=n^2+n.... (questions attached)

Question 1: The correct answer is Option 3: 20
Question 2: The correct answer is Option 3: 27
Step-by-step explanation:
We put the term number as value of n in explicit formula to find the term.
Question 1:
Given
[tex]t_n=n^2+n[/tex]
To find t4, we will put t=4 in explicit formula
[tex]t_4=(4)^2+4\\t_4=16+4\\t_4=20[/tex]
The correct answer is Option 3: 20
Question 2:
Given, the explicit formula
[tex]t_n=2^n-n[/tex]
We have to find the 5th term, putting n=5 in the explicit formula
[tex]t_5=2^5-5\\=32-5\\=27[/tex]
The correct answer is Option 3: 27
Keywords: Explicit formula, arithmetic sequence
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