QJEEM19Mac7e2: JEE Main 2019 Mathematics - Class 11 JEEM19Mac7e2 Solution: If    n C 4 , n C 5 and n C 6 are in A.P., then n can …

Question

Verified Solution • 2025–26 Session moderate

If ⁿC₄, ⁿC₅ and ⁿC₆ are in A.P., then n can be :

Accepted Answer

2.ⁿC₅ = ⁿC₄ + ⁿC₆

2.

\frac{n}{| 5 | n - 5} = \frac{n}{| 4 | n - 4} + \frac{n}{| 6 | n - 6}

\frac{2}{5} . \frac{1}{n - 5} = \frac{1}{(n - 4) (n - 5)} + \frac{1}{30}

n = 14

satisfying equation.

QJEEM19Mac7e2: JEE Main 2019 Mathematics - Class 11 JEEM19Mac7e2 Solution: If &nbsp;&nbsp; n C 4 , n C 5 and n C 6 are in A.P., then n can …