Question

If a,b,c,d,e are in AP, then the value of a-4b+6c-4d+e=

Answer 1

Step-by-step explanation:

a, b , c , d and e are in AP

let a = x

b = x + d

c = x + 2d

d = x +3d

e = x +4d

put this in LHS

LHS = a -4b +6c -4d +e

= x -4(x +d ) +6(x +2d ) -4(x +3d) +x +4d

={ x -4x +6x -4x +x} +{ -4d +12d -12d +4d}

= 0 + 0 = 0 = RHS