Both questions I need help with please a) An arithmetic progression has a first term of 32, a 5th term of 22 and a last term of −28. Find the sum of all the terms in the progression. b) Each year a...

Both questions I need help with please

a) An arithmetic progression has a first term of 32, a 5th term of 22 and a last term
of −28. Find the sum of all the terms in the progression.

b) Each year a school allocates a sum of money for the library. The amount allocated
each year increases by 2.5% of the amount allocated the previous year. In 2005
the school allocated $2000. Find the total amount allocated in the years 2005 to
2014 inclusive.