tim n thuoc N* biet
1+3+5+...+(2n-1)=225
tim n thuoc N sao biet :
a) 2 + 4 + 6 + 8 + ........ + 2n = 210
b) 1 + 3 + 7 + 9 + ......... + ( 2n + 1 ) = 225
Tim n thuoc N* biet: 1+3+5+...+(2n-1) =225
hien nay me 40 tuoi,con 12 tuoi.sau bao nhieu nam nua thi tuoi con =3/7 tuoi me
tim n thuoc N biet 1+3+5+...+(2n+1)=169
tim n thuoc N biet 1+3+5+...+(2n+1)=169
1+ 3 + 5 +...+(2n + 1). vì 1 và 3 cách nhau 2 chữ số nên ta có:
=\(\frac{1+\left(2n+1\right)}{2}=n^2\)
mà 169=\(13^2\)
suy ra n=13
tim n thuoc N biet 2n +5 chia het cho n-1
\(\left(2n+5\right)⋮\left(n-1\right)\)
\(2\left(n-1\right)+7⋮\left(n-1\right)\)
\(7⋮\left(n-1\right)\)
\(n-1\inƯ\left(7\right)=\left\{-7;-1;1;7\right\}\)
\(n\in\left\{-6;0;2;8\right\}\)
Mà \(n\in N\) nên \(n\in\left\{0;2;8\right\}\)
Tim n thuoc Z biet: n-3/2n+1
tim n thuoc N biet 3n+5 chia het cho 2n+1
\(3n+5⋮2n+1\)
Mà \(2n+1⋮2n+1\)
\(\Leftrightarrow\hept{\begin{cases}6n+10⋮2n+1\\6n+3⋮2n+1\end{cases}}\)
\(\Leftrightarrow7⋮2n+1\)
\(\Leftrightarrow2n+1\inƯ\left(7\right)\)
\(\Leftrightarrow\orbr{\begin{cases}2n+1=1\\2n+1=7\end{cases}}\) \(\Leftrightarrow\orbr{\begin{cases}n=0\\n=6\end{cases}}\)
Vậy ..
tim n thuoc N biet: (2n+5) chia het cho (n+1)
2n+5 chia hết cho n+1
Suy ra:2n+2+3 chia hết cho n+1
Vì 2n+2 chia hết cho n+1
Suy ra: 3 chia hết cho n+1
Suy ra: n+1 thuộc ước của 3=(1,-1,3,-3)
Suy ra: n=0,-2,2,-4 (T/M)
Vậy n=0,-2,2,-4
Tim n biet :
a, 1+2+3+4+....+n=465
b,2+4+6+.......+2n=210
c,1+3+5+....+(2n-1)=225