\(B=7^1+7^3+7^5...+7^{79}\)
Ta có
\(7^2B=7^3+7^5+7^7+...+7^{81}\)
\(\Rightarrow7^2B-B=\left(7^3+7^5+7^7+...+7^{81}\right)-\left(7^1+7^3+7^5...+7^{79}\right)\)
\(=7^{81}-7\)
\(\Rightarrow B=\frac{7^{81}-7}{7^2-1}=\frac{7^{81}-7}{48}\)
PS: Hú a ghê vậy e :)
\(B=7^1+7^3+7^5+....+7^{79}\)
\(7^2\cdot B=7^3+7^5+7^7+....+7^{81}\)
\(7^2\cdot B-B=\left(7^3+7^5+7^7+...+7^{81}\right)-\left(7^1+7^3+7^5+...+7^{79}\right)\)
\(48\cdot B=7^{81}-7\)
\(B=\frac{7^{81}-7}{48}\)
Vì khoản cách giữa 2 số trong này là 7^2 ak e