Advanced: Find the 20thterm of the sequence2,10,50,... and explainyour reasoning ? answer
Answer (1)
Answer: 38146972656250Geometric SequenceGeometric Sequence Formula: [tex]a_{n} = a_{1}r^{n-1}[/tex]Getting the Common Ratio:Divide 2nd term with 1st term.[tex]10/2=5[/tex]Therefore, common ratio is 5.Common Ratio (r): 5First Term ([tex]a_{1}[/tex]): 2nth Term (n): 20Formula:Using the geometric formula,[tex]a_{n} = a_{1}r^{n-1}[/tex]Substitute terms[tex]a_{20}=2(5)^{20-1}[/tex][tex]a_{20}=2(5)^{19}[/tex] [tex]a_{20}=2(19073486328125)[/tex] [tex]a_{20}=38146972656250[/tex]38146972656250
