A sequence {Tn} is defined as follows:
• The odd–numbered terms T1,T3,T5,… form an arithmetic progression whose first term is 2 and common difference is 3.
• The even–numbered terms T2,T4,T6,… form a geometric progression whose first term is 4 and common ratio is 2.
Answer the following questions.
a. (i) Write the first six terms of the sequence.
b. (ii) Obtain a single formula for the general term Tn valid for all positive integers n.
c. (iii) Find the sum of the first ten terms of the sequence.