Valerie is training for an upcoming triathlon. She has 12 weeks to increase
her swimming meters. Valerie swam 100 meters in her first week of
training, and decided to increase her meterage by 500 meters each week
thereafter.
How many meters will Valerie swim in week 12?

Valeri will swim 5600 meters in week 12, If she increase 100 meter in first week of training and she increases 500 meters for each week thereafter.

Step-by-step explanation:

      The given is,

                 Valerie is training for an upcoming triathlon.

                 He had 12 weeks to increase her swimming meters.

                 she swam 100 meters in her first week

                 They decided to increase 500 meters each week thereafter.

Step:1

            At the first week of training,

                Distance of swim = 100 meters        (∵ In 1st week 100 meters only)

Step:2

          From the given, after first week they increase 500 meters thereafter

              Week 2, Distance = 100 + 500

                                            = 600 meters

             Week 3, Distance = 600 + 500

                                            = 1100 meters

            Week 4,  Distance = 1100 + 500

                                            = 1600 meters

            Week 5, Distance = 1600 + 500

                                           = 2100 meters

            Week 6, Distance  = 2100 +500

                                            = 2600 meters

             Week 7, Distance = 2600 + 500

                                            = 3100 meters

             Week 8, Distance = 3100 + 500

                                            = 3600 meters

            Week 9, Distance = 3600 + 500

                                            = 4100 meters

            Week 10, Distance = 4100 + 500

                                             = 4600 meters

            Week 11, Distance = 4600 + 500

                                           = 5100 meters

           Week 12, Distance = 5100 + 500

                                            = 5600 meters

Result:

       Valeri will swim 5600 meters in week 12, if she valeri swam 100 meters in her first week of training, and decided to increase her meterage by 500 meters each week thereafter.

-2 is the right