A=1/2 - 1/4+1/8-1/16+1/32-1/64+....+1/2(99)-1/2(100)

Tính A

Chứng minh A < 1/3

* chú ý : 1/2(99) là 1/2 mũ 99; 1/2(100) là 1/2 mũ 100

Mn giúp e vs ạ

1.Chứng minh rằng a)1/2-1/4+1/8-1/16+1/32-1/64<1/3 b)1/3-2/3^2+3/3^3-4/3^4+...+99/3^99-100/3^100<3/16

Chứng minh rằng:

a) 1/2-1/4+1/8-1/16+1/32-1/64<1/3

b) 1/3-2/3^2+3/3^3-3/3^4+...+99/3^99-100/3^100<3/16

a) chứng minh rằng

1/2-1/4+1/8-1/16+1/32-1/64<1/3

1/3-2/3²+3/3³-4/3⁴+...............+99/3⁹⁹-100/3¹⁰⁰<3/16

CMR:

a)1/2-1/4+1/8-1/16+1/32-1/64<1/3

b)1/3 - 2/3^2 + 3/3^3 - 4/3^4 +...+ 99/3^99 -100/3^100 < 3/16

cmr

a) 1/2 -1/4+1/8-1/16+1/32-1/64 <1/3

b) 1/3-2/3^2+3/3^3-4/3^4+...+99/3^99-100/3^100<3/16

Chứng minh rằng :

a)1/2 - 1/4 + 1/8 - 1/16 + 1/32 - 1/64 < 1/3

b)1/3 - 2/3² + 3/3³ - 4/3⁴ + ... + 99/3⁹⁹ - 100/3^{100 <} 3/16

Chứng tỏ 

a, 1/2-1/4+1/8-1/16+1/32-1/64<1/3

b, 1/3-2/3^2+3/3^3-4/3^4+...+99/3^99-100/3^100<3/16

c, 1/2.3/4.5/6...9999/10000<1/100

chứng minh rằng : a) 1\2-1\4+1\8-1\16+1\32-1\64 <1\3 

                            b)1\3-2\3²+3\3³-4\3⁴+.....+99\3⁹⁹-100\3^100<3\16