QUESTION 3 The sum of the first terms of a sequence is given by

3 6

1

= −

m+

Sn

3.1. Determine the sum of the first 12 terms. (1)

3.2. Determine the 12th

term. (2)

3.3. Prove that the

ℎ

term of the sequence is divisible by 2​

Becca wants to mix fruit juice and soda to make a punch. she can buy fruit juice for $3 a gallon and soda for $4 a gallon. if she wants to make 28 gallons of punch at a cost of $3.25 a gallon, how many gallons of fruit juice and how many gallons of soda should she buy?