问题
选择题
设f(n)=
|
答案
根据题中所给式子,得f(n+1)-f(n)
=
+1 (n+1)+1
+1 (n+1)+2
+…+1 (n+1)+3
-(1 3(n+1)
+1 n+1
+1 n+2
+…+1 n+3
)1 3n
=
+1 3n+1
+1 3n+2
-1 3n+3 1 n+1
=
+1 3n+1
-1 3n+2 2 3n+3
故选C.
设f(n)=
|
根据题中所给式子,得f(n+1)-f(n)
=
+1 (n+1)+1
+1 (n+1)+2
+…+1 (n+1)+3
-(1 3(n+1)
+1 n+1
+1 n+2
+…+1 n+3
)1 3n
=
+1 3n+1
+1 3n+2
-1 3n+3 1 n+1
=
+1 3n+1
-1 3n+2 2 3n+3
故选C.