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Find a if the 17^(t h)and 18^(t h)terms ...

Find a if the `17^(t h)`and `18^(t h)`terms of the expansion `(2+1)^(50)`are equal.

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To solve the problem of finding the value of \( a \) such that the 17th and 18th terms of the expansion \( (2 + a)^{50} \) are equal, we will follow these steps: ### Step 1: Identify the General Term The general term \( T_r \) in the expansion of \( (x + a)^n \) is given by: \[ T_r = \binom{n}{r} x^{n-r} a^r \] For our case, \( n = 50 \), \( x = 2 \), and \( a = a \). Thus, the general term becomes: ...
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