[7] 次の数列の第k項anと初項から第"頂までの和Sを求めよ。
(1) 2, 2+5, 2+5+8, 2+5+8+11,
Ak=a=2, d = 3
ar = ± k{2.2+1K-1).33
+k (3k+1)
R
******
2k (3k + 1) = 12,3k+ k
+ {3. in ²n+²)(n+1) + + n(n+1 13
= = = = n(n+1) { 2n +1 +1}
& n(n+1)(2n+2)
= + n(n+1) 2(n+1)
==n(n+1) ²
(2) 3, 3+9, 3+9+27, 3+9+27+81,