
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.


MÌNH CHỈ HUONWGS DẪN CÁCH LÀM THÔI NHÉ
P2 TÁCH SỐ
1x22 +2x32+3x42 +.....+2018x20192 + 2019x20202
= 1x2x3 - 1x2 + 2x3x4 - 2x3+ 3x4x5 - 3x4 + ... + 2018x2019x2020 - 2018x2019 +2019x2020x2021 - 2019x2020
=(1x2x3+3x4x5+....+2018x2019x2020+2019x2020x2021) - (1x2+2x3+..+2018x2019+2019x2020)
= S - P (*****)
Tính 4S => S=..... (1)
Tính 3P => P=..... (2)
TỪ (1) và (2) thay vào (*****) TA TÍNH ĐƯỢC A=.....

A=1+2+22+23+...+22018+22019
>2A=2(1+2+22+23+...+22018+22019)
=>2A=2+22+23+...+22018+22019
=>2A-A=(2+22+23+...+22019+22020)-(1 + 2 + 22 + 23 + ... + 22018 + 22019)
=>A=22020-1
B=1 + 32 + 34 + 36 +...+ 32018 + 32020
=>9B=3(1 + 32 + 34 + 36 +...+ 32018 + 32020)
=>9B=3+32 + 34 + 36 +...+ 32020 + 32022
=>9B-B=(3+32 + 34 + 36 +...+ 32018 + 32020)-(1 + 32 + 34 + 36 +...+ 32018 + 32020)
=.8B=32022-1
=>B=32022:8-1

B=5+2(x-2019)2020
Vì (x-2019)2020 ≥0
=>5+(x-2019)2020 ≥5
Để B đạt Min
=>x-2019=0
=>x=2019
Vậy MinB=5 <=>x=2019


\(A=2^{2015}+2^{2016}+2^{2017}+2^{2018}+2^{2019}+2^{2020}.\)
\(=2^{2014}\left(2+2^2+2^3+2^4+2^5+2^6\right)\)
\(=126.2^{2014}\)
\(=42.3.2^{2014}⋮42\)
Đặt S=22020-22019-22018-....-2-1
2S=2.(22020-22019-22018-....-2-1)
2S=22021-22020-22019-.........-22-2
2S+S=(22021-22020-22019-.........-22-2)+(22020-22019-22018-....-2-1)
3S=22021+1
S=\(\frac{2^{2021}+1}{3}\)
Chúc bn học tốt
thank Nguyễn Trí Nghĩa nhiều nha!