Question
Download Solution PDFFind a, if 15th and 16th terms in the expansion of (1 + a)50 are equal.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The general term of the binomial expansion of (a + b)n is given by-
Calculation:
We have,
T15 = T14 + 1 = 50C14 (1)50 - 14 a14 = 50C14 a14
T16 = T15 + 1 = 50C15 (1)50 - 15 a15 = 50C15 a15
It is given that
T15 = T16
⇒ 50C14 a14 = 50C15 a15
⇒ a = 15/36 = 5/12
Hence, a =
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