Question

1) scrie numerele sub forma de produs,utilizand factorul comun:
a)9^1001+9^1000+7•9^999;
b)7•4^35+2•4^36-4^34;
c)8^200-3•8^198+2•8^197;
d)46^135+5•46^136-46^134;
e)2^102-2^101-2^100-2^99.
2) determină pe x,care verifică egalitatile:
a)2^51+2^52+2^53=ו2^59;
b)5^×+12•2^×+1+7•10^×=57000;
c)12•4^×-5•4^×=7•2^12
d)4^×+2+4^×+1+4^×=336
e)9^43-9^42-9^41=71•3^×
f)7^×+3-7^×+2-7^×+1=41•7^2•×
g)3^×+3•4^×+1-5•3^ו4^×=1236
3) calculați:
a)1+4+4^2+4^3+4^4+....+4^2017
b)1+3+3^2+3^3+3^4+...+3^2018
c)1+5+5^2+5^3+5^4+....+5^2018

Answer 1

Sper sa te ajute astea!