Question

 

Tính S = 3^10 + 3^11 + 3^12 +...+3^31. Giúp  Mình Mình Câu Like cho <3 Nhìu. Chúc Các bn nghỉ hè vui vẻ

Answer 1

3S=3(3¹⁰+3¹¹+...+3³¹)

3S=3¹¹+3¹²+...+3³²

3S-S=(3¹¹+3¹²+...+3³²)-(3¹⁰+3¹¹+...+3³¹)

2S=3³²-3¹⁰

S=(3³²-3¹⁰):2

Answer 2

\(S=3^{10}+3^{11}+3^{12}+...+3^{31}\)

\(\Leftrightarrow3S=3^{11}+3^{12}+3^{13}+...+3^{32}\)

\(\Rightarrow3S-S=\left(3^{11}+3^{12}+3^{13}+...+3^{32}\right)-\left(3^{10}+3^{11}+3^{12}+...+3^{31}\right)\)\(\Rightarrow2S=3^{32}-3^{10}\Rightarrow S=\frac{3^{32}-3^{10}}{2}\)

Answer 3

S=3¹⁰+3¹¹+3¹²+...+3³¹

S=3¹⁰⁺³¹

S=3⁴¹

nhớ nhé Nhĩa Nguyễn Trọng

Answer 4

S=3^10+3^11+3^12+...+3^31

3S=3^11+3^12+3^13+...+3^32

3S-S=(3^11+3^12+3^13+...+3^32)-(3^10+3^11+3^12+...+3^31)

2S=3^32-3^10

S=3^32-3^10/2

Answer 5

\(S=3^{10}+3^{11}+.........+3^{31}\)

\(3S=3^{11}+3^{12}+.......+3^{32}\)

\(3S-S=\left[3^{11}+3^{12}+....+3^{32}\right]-\left[3^{10}+3^{11}+........+3^{31}\right]\)

\(2S=3^{11}+3^{12}+........+3^{32}-3^{10}-3^{11}-.......-3^{31}\)

\(2S=3^{32}-3^{10}\)

\(S=\frac{3^{32}-3^{10}}{2}\)

Answer 6

Ta có: S = 3^10 + 3^11 + 3^12 +...+3^31

=> 3S=3 ( 3¹⁰+3¹¹+...+3³¹)

=> 3S=3¹¹+3¹²+...+3³²

=> 3S-S=(3¹¹+3¹²+...+3³²)-(3¹⁰+3¹¹+...+3³¹)

=> 2S=3³²-3¹⁰

=> S=\(\frac{3^{32}-3^{10}}{2}\)

Answer 7

\(3S=3^{11}+3^{12}+3^{13}+...+3^{32}\)

\(3S-S=\left(3^{11}+3^{12}+3^{13}+...+3^{32}\right)-\left(3^{10}+3^{11}+3^{12}+...+3^{31}\right)=3^{32}-3^{10}\)

\(S=\frac{3^{32}-3^{10}}{2}\)