find tha 6th term of a geometric siquuence where the 2nd term is 6 r is 2
Answer (1)
given2nd term: 6ratio: 2required6th termequation[tex]a_{n}[/tex] = [tex]a_{1}[/tex] x [tex]r^{n-1}[/tex]solution[tex]a_{2}[/tex] = [tex]a_{1}[/tex] x [tex]r^{2-1}[/tex] = [tex]a_{1}[/tex] x [tex]r[/tex]6 = [tex]a_{1}[/tex] x 2[tex]a_{1}[/tex] = [tex]\frac{6}{2}[/tex] = 3[tex]a_{6}[/tex] = [tex]a_{1}[/tex] x [tex]r^{6-1}[/tex] = [tex]a_{1}[/tex] x [tex]r^5[/tex][tex]a_{6}[/tex] = 3 x [tex]2^5[/tex][tex]2^5[/tex] = 32[tex]a_{6}[/tex] = 3 x 32 = 96answer6th term = 96
