If An=1+q+q2+q3+⋯+qn and Bn=1+(q+12)+(q+12)2+⋯+(q+12)n,q≠1, then – InterviewSolution

1.	If An=1+q+q2+q3+⋯+qn and Bn=1+(q+12)+(q+12)2+⋯+(q+12)n,q≠1, then n+1C1+ n+1C2⋅A1+ n+1C3⋅A2+⋯+ n+1Cn+1⋅An=
Answer» If $A_{n} = 1 + q + q^{2} + q^{3} + \dots + q^{n}$ and $B_{n} = 1 + (\frac{q + 1}{2}) + {(\frac{q + 1}{2})}^{2} + \dots + {(\frac{q + 1}{2})}^{n}, q \neq 1$ , then $^{n + 1} C_{1} +^{n + 1} C_{2} \cdot A_{1} +^{n + 1} C_{3} \cdot A_{2} + \dots +^{n + 1} C_{n + 1} \cdot A_{n} =$

Discussion

No Comment Found

Related InterviewSolutions

The number of ways of choosing 2 cards from a pack of 52 where atleast one face card is choosen
Let P(3,3) be a point on the hyperbola, x2a2−y2b2=1. If the normal to it at P intersects the x−axis at (9,0) and e is its eccentricity, then the ordered pair (a2,e2) is equal to
P speaks truth in 75% cases while Q in 90%.in what % r they likely to contradict each other in stating the same fact .? Do u think B is true Do
If f(x) has the second order derivative at x = c such that f '(c) = 0 and f ''(c) > 0, then c is a point of _______________.
An A.P. consists of 43 terms, if the sum of five middle-most terms is 195, then the sum of the A.P. is
Find the angle between two vectors a and b with magnitudes √3 and 2 respectively, having a.b=√6
If y={x}[x], then 3∫0y dx is equal to,where {.} and [.] are fractional part function and greatest integer function respectively.
The graph of f(x)=−|log(x−3)|+3 will be
1∫0ex⋅x(1+x)2dx is equal to
What is a set and list all formulas of set.