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

Toán Lớp 6: Bài 1. Tính tổng a) S=1 +2 +2 mũ 2 + 2 mũ 3+-+ 2 mũ 2022 b) S = 3 + 3 mũ 2 + 3 mũ 3 +-.+ 3 mũ 2022 c) S = 4+ 4 mũ 2 + 4 mũ 3+…

Toán Lớp 6: Bài 1. Tính tổng
a) S=1 +2 +2 mũ 2 + 2 mũ 3+….+ 2 mũ 2022
b) S = 3 + 3 mũ 2 + 3 mũ 3 +…..+ 3 mũ 2022
c) S = 4+ 4 mũ 2 + 4 mũ 3+….+ 4 mũ 2022
d)S = 5+ 5 mũ 2+ 5 mũ 3+….+ 5 mũ 2022
Mik cần gấp ạ

Comments ( 1 )

  1. A = 1 +2 +2^2 + 2^3+….+ 2^2022
    2A = 2 + 2^3 + 2^4 + ….+ 2^2023
    2A – A =  (2 + 2^3 + 2^4 + ….+ 2^2023) – (1 +2 +2^2 + 2^3+….+ 2^2022)
    A = 2^2023 – 1
    ———————
    B = 1 +3 +3^2 +3^3+….+ 3^2022
    3B = 3 + 3^3 + 3^4 + ….+ 3^2023
    3B – A =  (3 + 3^3 + 3^4 + ….+ 3^2023) – (1 +3 +3^2 +3^3+….+ 3^2022)
    2B = 3^2023 – 1
    B = (3^2023 – 1)/2
    ———————-
    C = 1 +4 +4^2 +4^3+….+ 4^2022
    4C =4 + 4^3 + 4^4 + ….+ 4^2023
    4C – C =  (4 + 4^3 + 4^4 + ….+ 4^2023) – (1 +4 +4^2 +4^3+….+4^2022)
    3C = 4^2023 – 1
    C = (4^2023 – 1)/3
    ———————–
    D = 1 +5 +5^2 +5^3+….+ 5^2022
    5D = 5 + 5^3 + 5^4 + ….+ 5^2023
    5D – D =  (5 + 5^3 +5^4 + ….+5^2023) – (1 +5 +5^2 +5^3+….+5^2022)
    4D = 5^2023 – 1
    D = (5^2023 – 1)/4
    (Chúc bạn học tốt)

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