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Question

Find the fourteenth term of (3a)15.

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Solution

The rth term in expansion of (a+x)n is given by nCr1an+1rxr1
The fourteenth term in the expansion of (3a)15 will be 15C3(3)2(a)13=15C2×(9a13)
We get the fourteenth term equal to 945a13

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