P = 1 + 32 + 34 + 36+......+3100
32 P= 32(1 + 32 + 34 + 36+......+3100)
32P= 32 + 34 + 36+......+3100+3102
32P= (32 + 34 + 36+......+3100+3102)- (1 + 32 + 34 + 36+......+3100 )
32 P= 3102 - 1
P= (3102 -1) :9
Q = (917)3 / 23
Q = 951 / 8
Q = (32)51 /8
Q = 3102 /8
Q= 3102 :8
=> P > Q
Vậy...
K chắc nha b
xét P=1+3^2+3^4+3^6+3^8+....+3^100
=> 3^2.P=3^2+3^4+3^6+3^8+3^10+...+3^102
9.P-P=(3^2+3^4+3^6+3^8+3^10+...+3^102)-(1+3^2+3^4+3^6+3^8+....+3^100)
8P=3^102-1
P=\(\frac{3^{102}-1}{8}\)
Xét Q :
\(\left(\frac{9^{17}}{2}\right)^3=\left[\frac{\left(3^2\right)^{17}}{2}\right]^3=\frac{\left(3^{34}\right)^3}{8}=\frac{3^{102}}{8}\)
mà 3^102-1<3^102
=>P<Q
