(a+1)^n-a^n>(a-1)^n

小草

(a+1)^n-a^n>(a-1)^n


5^3-4^3=61>3^3
6^3-5^3=91>4^3
7^3-6^3=127>5^3
8^3-7^3=169=5^3+44
8^4-7^4=1695>6^4
9^3-8^3=217=6^3+1
9^4-8^4=2465>7^4
10^3-9^3=271=6^3+55
10^4-9^4=3439<7^4+1038
10^5-9^5=40951>8^5
11^3-10^3=331=7^3-12
11^4-10^4=4641=8^4+545
11^5-10^5=61051>9^5
12^3-11^3=397=7^3+54
12^4-11^4=6095=9^4-466
12^5-11^5=87781=9^5+28732
12^6-11^6=1214423>10^6