Question:
If the coefficients of am and an in the expansion of (1 + a)m+n are α and β , then which one of the following is correct?
If the coefficients of am and an in the expansion of (1 + a)m+n are α and β , then which one of the following is correct?
Options:
- 2α = β
- α = (m + n)β
- α = β
- α = 2β
- 2α = β
- α = (m + n)β
- α = β
- α = 2β
Correct Answer: c)
Explanation:
‘ We ha√e, (1 + a)™™
ST =””Cra”
‘ .”. Coefficient of a™ = ™”C,, 7 =m
‘ and coefficient of a” = ™*”C,
sa=”tC, or=n
‘ and B=”””C,, = “Chinn
I
I =”, =a I
1 a=
126.
(c)x2
‘
‘ We ha√e, (1 + a)™™
ST =””Cra”
‘ .”. Coefficient of a™ = ™”C,, 7 =m
‘ and coefficient of a” = ™*”C,
sa=”tC, or=n
‘ and B=”””C,, = “Chinn
I
I =”, =a I
1 a=
126.
(c)x2
‘