Prove that the sequence

a za for n 2 1 n n+1c ) an ( n+2 ) ! Monotonic? YES Bounded? YES Mon. Dec. -7 Prove anza . B/c an is mon. dec. Proof: an ?. anti then all terms are c a, = Z 3h +1 Ble a consists of all 7 ( n+ 2 ) ! ( n+1+ 2 ) ! positive terms, an 20 3 1 . 3' . Ozancy - .. Bounded (n + 2 ) ! ( n + 3 ) 1 ) T below above 3 (n+ 2)!. ( n + 3 ) ( n+ 2 ) +. 51 = 5 . 4 . 3 . 2. 1 .. is n+ 3 3 n ! = n (n-1) (n-2) (n - 3). 7 3 . 2- 1 Mon . Dec . (n+ 3 ) ! = ( n + 3 ) ( not 2 ) (+1) ( in) 3 . 2. 1 ( n + 2 )