Question

15.Reducir:
A =
11!- 10!
9!
+
10!-9!
8!
+
9!-8!
7!
+ ...​

Answer 1

Respuesta:

A= 10²+9²+8²+7²+6²+5²+4²+3²+2²+1² = (10)(11)(21)/6 = 385

Explicación paso a paso:

(11!-10!)/9! = ((11x10!) - (10!))/(9!) = (10! (11-1))/ 9! = (10x9!x(10))/9! = 10x10 = 100

(10!-9!)/8! = ((10x9!) - (9!))/(8!) = (9! (10-1))/8! = (9x8!x(9))/8! = 9x9 = 81

(9!-8!)/7! = ((9x8!) - (8!))/(7!) = (8! (9-1))/7! = (8x7!x(8))/7! = 8x8 = 64

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