csat-suneung 2007 Q26

csat-suneung · South-Korea · csat__math-humanities 3 marks Sequences and series, recurrence and convergence Direct term computation from recurrence
For a sequence $\left\{ a _ { n } \right\}$ with $a _ { 1 } = 2$ and $a _ { n + 1 } = 2 a _ { n } + 2$, what is the value of $a _ { 10 }$? [3 points]
(1) 1022
(2) 1024
(3) 2021
(4) 2046
(5) 2082
For a sequence $\left\{ a _ { n } \right\}$ with $a _ { 1 } = 2$ and $a _ { n + 1 } = 2 a _ { n } + 2$, what is the value of $a _ { 10 }$? [3 points]\\
(1) 1022\\
(2) 1024\\
(3) 2021\\
(4) 2046\\
(5) 2082