Toán Lớp 6: 2 mũ 1+ 2 mũ 2+ 2 mũ 3+...+2 mũ 100 chia hết cho 6 -

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Toán Lớp 6: 2 mũ 1+ 2 mũ 2+ 2 mũ 3+…+2 mũ 100 chia hết cho 6

Khanh Tháng Sáu 2, 2022 Toán học 2 Comments 0 views

Toán Lớp 6: 2 mũ 1+ 2 mũ 2+ 2 mũ 3+…+2 mũ 100 chia hết cho 6

Comments ( 2 )

lanhuongthu
2 Tháng Sáu, 2022 at 10:35 chiều

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2^1 + 2^2 + 2^3 + … + 2^100

=(2^1 + 2^2 ) + 2^2( 2^1 + 2^2 ) + … + 2^98 ( 2^1 + 2^2)

= 6 + 2^2 * 6+ … + 2^98 *6

=6(1+2^2+…+2^98) vdots 6 (đpcm)
quynhmaithu
2 Tháng Sáu, 2022 at 10:35 chiều

Reply

$\text{ $2^1$ + $2^2$ + $2^3$ + … + $2^{100}$ }$

$\text{ = ( $2^1$ + $2^2$ ) + ( $2^3$ + $2^4$ ) + … + ( $2^{99}$ + $2^{100}$ ) }$

$\text{ = ( $2^1$ + $2^2$ ) + $2^2$. ( $2^1$ + $2^2$ ) + … + $2^{98}$. ( $2^1$ + $2^2$ ) }$

$\text{ = 6 + $2^2$. 6 + … + $2^{98}$. 6 }$

$\text{ = 6. ( 1 + $2^2$ + … + $2^{98}$ ) $\vdots$ 6 ( đpcm ) }$

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