# Prove that:Sin x=6. Also find the following answer-You ate 1/2 of a pizza on Monday.You ate 1/2 of what was left on Tuesday and followed this pattern till Sunday.Find the quantity of pizza( in %) you ate during the week.IMPORTANT NOTE: Please don't give separate answers as I know the 2nd one is easy but the 1st one is tough.

1
by Gomisan

2014-10-25T05:24:34+05:30

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Sin x = 6 ??   Sin x is always between -1 and +1.  There is some problem with the question..

Pizza:
1/2 + 1/4 + 1/8 +... 7 terms

sum of Geometric progression :  a = 1/2     r = 1/2      n = 7

Sum = a * ( 1 - r^n) / (1 - r)  =  1/2  * ( 1 - 1/2^7) / ( 1 - 1/2)
= 127/128 of the pizza

in % it is    12700 /128 % = 99.22%