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Find a Formula for the General Term ana _ { n }

Question 129

Multiple Choice

Find a formula for the general term ana _ { n } of the sequence {1,−1210,1915,−2620,3325,…}\left\{ 1 , - \frac { 12 } { 10 } , \frac { 19 } { 15 } , - \frac { 26 } { 20 } , \frac { 33 } { 25 } , \ldots \right\} .


A) (−1) n−1(5+7n) 5(n+1) \frac { ( - 1 ) ^ { n - 1 } ( 5 + 7 n ) } { 5 ( n + 1 ) }
B) (−1) n(5+7n) 5n\frac { ( - 1 ) ^ { n } ( 5 + 7 n ) } { 5 n }
C) (5+7n) 5(n+1) \frac { ( 5 + 7 n ) } { 5 ( n + 1 ) }
D) (−1) n(5−7n) 5(n+1) \frac { ( - 1 ) ^ { n } ( 5 - 7 n ) } { 5 ( n + 1 ) }
E) (−1) n(5+7n) (n+1) \frac { ( - 1 ) ^ { n } ( 5 + 7 n ) } { ( n + 1 ) }
F) (−1) n+1(5−7n) 5(n+1) \frac { ( - 1 ) ^ { n + 1 } ( 5 - 7 n ) } { 5 ( n + 1 ) }
G) (−1) n(5+7n) 5(n+1) \frac { ( - 1 ) ^ { n } ( 5 + 7 n ) } { 5 ( n + 1 ) }
H) None of these

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