Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive and an explicit formula to represent it. 0.2 , 0.5 , 0.8 , 1.1 , …
Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive and an explicit formula to represent it. 0.2 , 0.5 , 0.8 , 1.1 , …
Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive and an explicit formula to represent it.
0.2
,
0.5
,
0.8
,
1.1
,
…
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 36P
The given sequence is arithmetic and the formula is A(n)=0.2+(n−1)(0.3)
Explanation of Solution
Given:
The given series is 0.2,0.5,0.8,1.1,...
Calculation:
Calculate the common difference.
0.5−0.2=0.30.8−0.5=0.31.1−0.8=0.3
Thus, the common difference is 0.3 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)=0.2+(n−1)(0.3)
Thus, the given sequence is arithmetic and the formula is A(n)=0.2+(n−1)(0.3)
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