Please solve exercise applying concepts of the sum of sets of terms of a sequence. The problem related to annuities must be resolved using sequences or series. Don't use future annuity value formula....

Please solve exercise applying concepts of the sum of sets of terms of a sequence. The problem related to annuities must be resolved using sequences or series. Don't use future annuity value formula.

In the following exercises and problems you will be able to:
• model investment and annuity problems;
• explain the difference between sequences and series;
• solve exercises applying concepts of the sum of sets of terms of a sequence, and
• solve problems related to annuities using sequences or series
In the case that the result is decimal, you will round it to two decimal places.

4. New grandparents decide to invest $ 200 a month in an annuity for their grandchild. The account will pay 5% interest per year, which is compounded monthly. How much will be in the child's account when he turns 21?