Question

Se considera numarul A= 2 la puterea 1 + 2 la puterea 2 + 2 la puterea 3 + 2 la puterea 4 + 2 la puterea 5 + 2 la puterea 6 a) Aratati ca A+2 = 2 la puterea 7 b) Rezolvati in N ecuatia A+2 la puterea 7 + 2 la puterea 8 + 2 la puterea 9 + 2 la puterea 10 = 2x-2

Answer 1

A=2^1+2^2+2^3+2^4+2^5+2^6=2+4+8+16+32+64=126
a) A+2=2^7
126+2=128
128=128
b ) A+2^7+2^8+2^9+2^10=2x-2
126+128+256+512+1024=2x-2
2046=2x-2
De aici nu mai stiu rezolvarea in N