Your parents offer you two options to receive an allowance for a 9 week period.     Option 1: You get...

Your parents offer you two options to receive an allowance for a 9 week period.

    Option 1: You get paid $25 per week

    Option 2: You are paid $1 the first week, $2 the second week, $4 the third week, and so on.

   a) Does either option form a geometric sequence? Explain.

   b)  If you want to receive the most possible money 

in the 9 week period, which option should you choose? Explain.