For the sequence 3, 8, 13, 18, 23, ….: (i) find recursive and non-recursive formulas. (ii) prove the non-recursive formula using recursive formula and by induction. (iii) write and iterative algorithm to out put the first m terms.

Step-by-step explanation:

Given is the sequence 3, 8, 13, 18, 23, ….:

We find that this is a geometric sequence with each term added with 5 to the previous term

Hence recursive formula is

Non recursive formula:

iii) Start with 3.

Add 5 and write as 2nd term

Take the resulting term and add 5 and mark as 3rd term

Repeat this m times.

54

step-by-step explanation:

6x9