=1275

1 + 2 + 3 +...+ 50

Dãy trên có số số hạng là:

\(\left(50-1\right)+1=50\) (số)

Tổng của chúng là:

\(\frac{\left(50+1\right)\cdot50}{2}=1275\)

Vậy tổng của chúng là 1275

~Học tốt~

Kết quả :

= 1275

Hk tốt nha bn !

thiếu 

A

A

  31+32+33+34+35-11-12-13-14-15=100

= ( 60+40) +( 61-11 +50) + (51 + 70 -21) + ( 41 -31 +30 +10 +20)

=       100 +   100  +   100 + 70

= 370

\(B=3^1+3^2+3^3+...+3^{100}\\3B=3^2+3^3+3^4+...+3^{101}\\3B-B=(3^2+3^3+3^4+...+3^{101})-(3^1+3^2+3^3+...+3^{100})\\2B=3^{101}-3\\\Rightarrow 2B+3=3^{101}\)

Mặt khác: \(2B+3=3^n\)

\(\Rightarrow 3^n=3^{101}\\\Rightarrow n=101(tm)\)

Vậy n = 101.

cảm ơn bạn nha :))

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

30 x 31 x 32 x.....................x 39 x 40 chia hết cho 7

111 chia hết cho 7

=> 30 x 31 x 32 x.....................x 39 x 40 + 111 chia hết cho 7

Ta có: 30x31x32x…x39x40+111

= 30x31x…x36x38x…x40x37+3x37

=(30x31x…x36x38x…x30+3)x37

Vậy 30x31x32x…x39x40+111 chia hết cho 37