練1 次の条件によって定められる数列{an}の一般項を求めよ。
(ただし,数列{an}の初項から第n項までの和をSとする)
(1) a₁ = 2, an+1 = an-3
(2) a₁ = 4, an+1-an
(3)) a1 = 0, an+1 = an + 4n³
(4) a₁ = 5, an+1 = 3an 4
(5) a₁ = -1, an+1 = 4an +2
⑩
(7) a₁ = 4, an+1 = 2an+3.2n+1
(8) a1 = 6, an+1 = 12an - 3n+2
= 1/32, an+1
(10)/3Sn = an + 2n
(11) a₁ = 1, nan+1 = (n + 1)an + 3n(n+1)
(12) a₁ = 2, an+1 = 3an +2n-3
01
a₁ = 1, an+1 = an +2.3n-1
(9.) a₁ =
an
1-2an