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Please explain how to solve the image problem........p pleas explain fully........

Sudhanva G V , 6 Years ago
Grade 11
anser 1 Answers
Samyak Jain
Given : (1 + x)n = ∑ ar . xr  We know that (1 + x)n = ∑ Tr+1 , where Tr+1 = nCr . xr.
Thus, ar = nCr .
Now, br = 1 + ar / ar–1 = 1 + nCr / nCr–1 = 1 + {n! / r!(n–r)!} / {n! / (r–1)!(n–r+1)!}
            = 1 + { (n – r + 1) / r } = (r + n – r + 1) / r
         br = (n + 1) / r
  n
 \Pi br = {(n + 1) / 1} {(n + 1) / 2} {(n + 1) / 3} … {(n + 1) / n} = (n + 1)n / 1.2.3. … .n = (n + 1)n / n!
r=1
Given :
  n
 \Pi br = (101)100 / 100!
r=1
\therefore n = 100
Last Activity: 6 Years ago
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