Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive and an explicit formula to represent it. 51 , 47 , 43 , 39 , …
Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive and an explicit formula to represent it. 51 , 47 , 43 , 39 , …
Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive and an explicit formula to represent it.
51
,
47
,
43
,
39
,
…
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 35P
The given sequence is arithmetic and the formula is A(n)=51+(n−1)(−4)
Explanation of Solution
Given:
The given series is 51,47,43,39,..
Calculation:
Calculate the common difference.
47−51=−443−47=−439−43=−4
Thus, the common difference is -4 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)=51+(n−1)(−4)
Thus, the given sequence is arithmetic and the formula is A(n)=51+(n−1)(−4)
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.