\(A=15+22+29+...+127+134\)
\(=\frac{\left(134+15\right)\left[\left(134-15\right):7+1\right]}{2}\)
\(=\frac{149.18}{2}\)
\(=2682:2\)
\(=1341\)
\(b,4^{n+2}+4^{n+3}+4^{n+4}+4^{n+5}=85.\left(2^{2016}:2^{2012}\right)\)
\(\Rightarrow4^n\left(4^2+4^3+4^4+4^5\right)=85.2^4\)
\(\Rightarrow4^n.1360=1360\)
\(\Rightarrow4^n=1=4^0\)
\(\Rightarrow n=0\)
tinh nhanh:
A=15+22+29+...+127+134
moi so hang cua A hon kem nhau :
22-15=7(don vi)
ta thay day la day so cach deu. vay so so hang cua A la:
(134-15):7+1=18(so hang)
A bang: (134+15)*18:2=1341