B=2+2^4+2^7+2^10+2^13+...+2^316

2 câu trả lời

`B = 2 + 2^4 + 2^7 + 2^10 + 2^13 + ... + 2^316`

`=> 2^3B = 2^4 + 2^7 + 2^10 + 2^13 + 2^16 + ... + 2^319`

`=> 8B - B = ( 2^4 + 2^7 + 2^10 + 2^13 + 2^16 + ... + 2^319 ) - ( 2 + 2^4 + 2^7 + 2^10 + 2^13 + ... + 2^316 )`

`=> 7B = 2^319 - 2`

`=> B = {2^319 - 2}/7`

Vậy `B = {2^319 - 2}/7`

`#dtkc`

 

Đáp án+Giải thích các bước giải:

`B=2+2^4+2^7+2^10+2^13+...+2^316`

`2^3 . B=2^4+2^7+2^10+2^13+2^16+....+2^319`

`8B= 2^4+2^7+2^10+2^13+2^16+....+2^319`

`8B-B=(2^4+2^7+2^10+2^13+2^16+....+2^319)-(2+2^4+2^7+2^10+2^13+...+2^316)`

`7B=2^319-2`

`B=(2^319-2)/7`