csat-suneung 2015 Q10

csat-suneung · South-Korea · csat__math-A 3 marks Arithmetic Sequences and Series Find Specific Term from Given Conditions
For a sequence $\left\{ a _ { n } \right\}$, if the sum of the first $n$ terms $S _ { n } = \frac { n } { n + 1 }$, what is the value of $a _ { 4 }$? [3 points]
(1) $\frac { 1 } { 22 }$
(2) $\frac { 1 } { 20 }$
(3) $\frac { 1 } { 18 }$
(4) $\frac { 1 } { 16 }$
(5) $\frac { 1 } { 14 }$
For a sequence $\left\{ a _ { n } \right\}$, if the sum of the first $n$ terms $S _ { n } = \frac { n } { n + 1 }$, what is the value of $a _ { 4 }$? [3 points]\\
(1) $\frac { 1 } { 22 }$\\
(2) $\frac { 1 } { 20 }$\\
(3) $\frac { 1 } { 18 }$\\
(4) $\frac { 1 } { 16 }$\\
(5) $\frac { 1 } { 14 }$