For the following exercises, determine whether the infinite series has a sum. If so, write the formula for the sum. If not, state the reason. 22.12+18+24+30+... For the following exercises, find the number of subsets in each given set. _7. A set containing 5 distinct numbers, 4 distinct letters, and 3 distinct symbols @. The set of two-digit numbers between 1 and 100 containing the digit 0 For the following exercises, find the distinct number of arrangements. 30. The letters in the word \"juggernaut\" 32. The letters in the word \"academia\" that begin and end in \"a\" For the following exercises, use the formula for the sum of the first n terms of an arithmetic series to find the sum. 36.1+3+7+...+31 For the following exercises, use the formula for the sum of the first n terms of a geometric series to find the partial sum. 38. 56 for the series 2 10 50 250... For the following exercises, express each description of a sum using summation notation. 8. The sum of 6k - 5 from k = -2 to k = 1 For the following exercises, express each arithmetic sum using summation notation. 12. ~ + 1 + ~ + 2+...+ 4 N For the following exercises, use the formula for the sum of the first n terms of each arithmetic sequence. 13. +2+2+3+. N/ J