Which strategy best explains how to solve this problem?

colin is preparing for a marathon by running in his neighborhood. the first week, he runs one block. the next week, he runs twice as many blocks as the first week (2 blocks). each week, he plans to run twice as many blocks as he ran the week before.

how many blocks will colin run by the end of the sixth week?

a.
use objects to model the problem.

put out 1 chip to represent the blocks run in week one. put out twice that amount for week two. put out twice that amount (from week two) for week three. do this 3 more times, putting out twice the amount from the previous week each time.

b.
make a table.

in the first row, write first week - 2 blocks. in the next row, write second week - 4 blocks. in the third row, write third week -6 blocks. continue this pattern for three more rows.

c.
write a number sentence.

(1 + 2) × 6 = x
add the number of blocks run in the first and 2nd week. then multiply the sum by the number of weeks (6).