Let a1, a2 ,a3,...be an arithmetic sequence.
If \(a_{23} = \dfrac23 and a_{53} = \dfrac32 what is a_{35} \)
+118690
you use the formula Tn=a+(n-1)d
\(a+22d=\frac{2}{3}\qquad (1)\\ a+52d=\frac{3}{2}\qquad (2)\\~\\ (2)-(1)\\ 30d=\frac{3}{2}-\frac{2}{3}\\ 30d=\frac{5}{6}\\ d=\frac{1}{36}\\ \)
Check what i have done, then sub d in to find a
Then find a35
Any questions? , then i am happy to discuss further.
