Ennifer has been saving for college for 57 months. the first month, she saved $11. she was able to save more money each month than the month before. she ended up saving $19,779.00. how much more did she save each month?

The is an arthitmetic sequence, so let's determined all the aspects and factors using the details and information from this word problem.
The first term (a) = 11, number of terms (n) = 57, the sum of nth term (Sn) = 19,779.
Let the common difference between the amount of money she saved more each month is d.
Sn = n/2(2a+(n-1)d)
19,799 = 57/2(2(11) + (57-1)d)
19,799 = 28.5(22 + 56d)
19,799 = 627 + 1,596d
    -627  -627

   19,172 = 1,596d

             1,596

d= 12.01253.

In conclusion, she saved about $12 more each month.