csat-suneung 2006 Q3

csat-suneung · South-Korea · csat__math-humanities 2 marks Arithmetic Sequences and Series Find Specific Term from Given Conditions
For an arithmetic sequence $\left\{ a _ { n } \right\}$, $$a _ { 5 } = 4 a _ { 3 } , \quad a _ { 2 } + a _ { 4 } = 4$$ When these conditions hold, what is the value of $a _ { 6 }$? [2 points]
(1) 5
(2) 8
(3) 11
(4) 13
(5) 16
For an arithmetic sequence $\left\{ a _ { n } \right\}$,
$$a _ { 5 } = 4 a _ { 3 } , \quad a _ { 2 } + a _ { 4 } = 4$$
When these conditions hold, what is the value of $a _ { 6 }$? [2 points]\\
(1) 5\\
(2) 8\\
(3) 11\\
(4) 13\\
(5) 16