Problema Solution
The numbers in the nth row of Pascal’s triangle represent the coefficients for (a + b)^n.
If the sum of the coefficients in a row is 512, find the value of n.
Answer provided by our tutors
we will get the sum of the coefficient for (a + b)^n if we put a=1 and b = 1 (use the Binomial Theorem) thus we have
(1 + 1)^n = 512
2^n = 512
512 = 2^9
2^n = 2^9
n = 9