If [x] denotes the greatest integer less than or equal to x, then (66+14)2n+1

Let l+f=(66+14)2n+1Assuming, f'=(66−14)2n+1       …… (1)Now, I+f−f'=(66+14)2n+1−(66−14)2n+1⇒I+f−f=2 2n+1C1(66)2n141+2n+1C3(66)2n+2(14)3+…⇒ I+f−f'=2 (Integer) = even      …… (2)Now, 0≤f<1Also, 0≤f−f'<1∴ 0≤f−f'<0⇒f−f'=0Substituting respective values in (2), we getI = even integer