Determine whether the sequence is arithmetic. If so, find the common difference. $15,35,95,275,815,…\frac { 1 } { 5 } , \frac { 3 } { 5 } , \frac { 9 } { 5 } , \frac { 27 } { 5 } , \frac { 81 } { 5 } , \ldots$

A) $35\frac { 3 } { 5 }$
B) $95\frac { 9 } { 5 }$
C) 2
5
D) $815\frac { 81 } { 5 }$
E) The sequence is not arithmetic.

Question

Determine whether the sequence is arithmetic. If so, find the common difference.

15,35,95,275,815,…\frac { 1 } { 5 } , \frac { 3 } { 5 } , \frac { 9 } { 5 } , \frac { 27 } { 5 } , \frac { 81 } { 5 } , \ldots

A)

35\frac { 3 } { 5 }

B)

95\frac { 9 } { 5 }

C) 2
5
D)

815\frac { 81 } { 5 }

E) The sequence is not arithmetic.

Joseph Delos · Accepted Answer

Final Answer : E, Explanation :  According to the given sequence, the terms are not increasing or decreasing at a constant rate, so it is not an arithmetic sequence.

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