Greatest Binomial Coefficient. 9. For example, in ( x + y )5 above, the binomial coefficients start from 1, peak up to 10, and again fall to 1. Now, let us learn a formula to find the greatest binomial coefficient:.
In this section, we give some examples of applying the binomial theorem. .. When n is even, we can show that the greatest coefficient of (1+x)n is the.
14 Sep 2013 Note that our expression is equal to 1318(1+6x)18. The coefficient of xk+1 is (18k+1)6k+1. The coefficient of xk is (18k)6k. Divide. We get some
The total number of terms in the binomial expansion of (a + b)n is n+ 1, i.e. one . 8.2 Solved Examples Example 5 Find the coefficient of x11 in the expansion of . Example 11 Find numerically the greatest term in the expansion of (2 + 3x)9,
To determine the greatest coefficient in the binomial expansion, (1+x)n, Thus Tr+1 will be the greatest term if, r has the greatest value as per the equation (1).

This is a binomial question, and I'm having lots of trouble. Say if the expansion was (3+4x)^16 how would I find the greatest coefficient? Do I just. the greatest coefficient? Do I just expand it all? Or is there an actual formula?
The greatest coefficient in a binomial expansion depends upon the value of 'n'. If 'n' is even there is only

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March 2018