Question: Show that and deduce that for any integer n 1. Deduce that the sum lies between 198 and 200. (n + 1) = n=

Show that

(n + 1) n= 1 (n + 1) + n

and deduce that

1 2n (n+1) = n

for any integer n ≥ 1. Deduce that the sum

1 1 VI V2 V3 +...+ 1 (9999) + 1 (10000)

lies between 198 and 200.

(n + 1) = n= 1 (n + 1) + n

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