Question

va rog ajutati.ma....

Answer 1

a) 2014= 1007+1007 => n=1007

b) 7 (la puterea) 2(1+2+3+...+50) = 7 (la puterea) n(n+1)
    7 (la puterea ) 2(50x49):2 = 7 (la puterea) 49(49+1) => n = 49

Answer 2

5¹⁺²⁺³⁺...²⁰¹⁴ =5ⁿ⁺¹⁰⁰⁷
1+2+3+...+2014=n+1007
2014×(2014+1)/2=n+1007
1007×2015=n+1007
n=1007×2015-1007=1007(2015-1)=1007×2014=2028098

7²⁺⁴⁺⁶⁺...¹⁰⁰=7ⁿ⁽ⁿ⁺¹)
2+4+6+...+100=n(n+1)
2(1+2+3+...50)=n(n+1)
2×50×51/2=n(n+1)
50×51=n(n+1)
n=50