5. If a, b, c, d, e is in A.P., then the value of a – 4b + 6c – 4d + e is
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5. If a, b, c, d, e is in A.P., then the value of a – 4b + 6c – 4d + e is
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Explanation:
a,b,c,d,e are in AP
b = a+D
c = a+2D
d = a+3D
e = a+4D
a-4b+6c-4d+e
→ a-4(a+D)+6(a+2D)-4(a+3D)+(a+4D)
→ a-4a-4D+6a+12D-4a-12D+a+4D
→8a-8a
→0