Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive and an explicit formula to represent it. 5 , 13 , 21 , 29 , …
Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive and an explicit formula to represent it. 5 , 13 , 21 , 29 , …
Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive and an explicit formula to represent it.
5
,
13
,
21
,
29
,
…
Expert Solution & Answer
To determine
To find:Whether the given series is arithmetic or not and write the formula to represent it.
Answer to Problem 34P
The given sequence is arithmetic and the formula is A(n)=5+(n−1)(8)
Explanation of Solution
Given:
The given series is 5,13,21,29,...
Calculation:
Calculate the common difference.
13−5=821−13=829−21=8
Thus, the common difference it 8 so, the sequence is arithmetic.
Write the formula to represent the equation.
A(n)=A(1)+(n−1)d
Substitute the values in the above equation.
A(n)=5+(n−1)(8)
Thus, the given sequence is arithmetic and the formula is A(n)=5+(n−1)(8)
Elementary Algebra: Concepts and Applications (10th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.