SOLUTION: Expand (1-2x)^6 up to x^3. Hence find an approximation for (49/50)^6 correct to 3 decimal places.

Question 1037934: Expand (1-2x)^6 up to x^3. Hence find an approximation for (49/50)^6 correct to 3 decimal places.
Answer by Aldorozos(172) (Show Source): You can put this solution on YOUR website!
This is binomial:
(a+b)^n
http://www.intmath.com/series-binomial-theorem/4-binomial-theorem.php
in this case 1 = a, -2x is b and 6 is n
(a+b)^n
See how (x2 - 2y)5 has been expanded
http://www.intmath.com/series-binomial-theorem/4-binomial-theorem.php
One easy way to solve (49/50)^6 is open and Excel sheet and in one of the cells type
=(49/50)^6
You will get .886

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