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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 6: 5 + 5^2 + 5^3 +–..+ 5^20220

Toán Lớp 6: 5 + 5^2 + 5^3 +……….+ 5^20220

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
     đặt A=5+5^2+5^3+….+5^20220
    =>   5A=5^2+5^3+5^4+…..+5^20201
    =>     4A=(5^2+5^3+…..+5^20201)-(5+5^2+5^3+……+5^20200)
    =>        4A=5^20201-5
    => A=(5^20201-5)/4

  2. Đặt A = 5 + 5^2 + 5^3 + …. + 5^{20220}
    -> 5A = 5 . ( 5 + 5^2 + 5^3 + …. + 5^{20220} )
    -> 5A = 5^2 + 5^3 + 5^4 + …. + 5^{20221}
    -> 5A – A =  ( 5 + 5^2 + 5^3 + …. + 5^{20220} ) – ( 5^2 + 5^3 + 5^4 + …. + 5^{20221} )
    -> 4A = 5^{20221} – 5
    -> A = ( 5^{20221} – 5 ) : 4

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222-9+11+12:2*14+14 = ? ( )

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