Question

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

Answer 1

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

$t_n=n^2+n$

To find t4, we will put t=4 in explicit formula

$t_4=(4)^2+4\\t_4=16+4\\t_4=20$

The correct answer is  Option 3: 20

Question 2:

Given, the explicit formula

$t_n=2^n-n$

We have to find the 5th term, putting n=5 in the explicit formula

$t_5=2^5-5\\=32-5\\=27$

The correct answer is Option 3: 27

Keywords: Explicit formula, arithmetic sequence

Learn more about arithmetic sequence at:

• brainly.com/question/2088577
• brainly.com/question/2088710

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