A sequence is defined by the general term an=5⋅2n−1+3 for n≥1.
a. (i) Determine whether the sequence {an} forms an AP, a GP, or neither. Justify your answer by considering consecutive terms.
b. (ii) If {an} is neither an AP nor a GP, define a new sequence bn=an−3 and classify {bn} accordingly.
c. (iii) For the sequence {bn}, write an expression for the 10th term and evaluate its numerical value.