PLZ PROVIDE ALLTHE ANSWER BY HUMNAN AN NOT AI AND AND ALSO ALL THE STEPS THANKYOU Problem $5$

Use induction to prove that the number of consecutive subsequences of some sequence

$\{a_n{\}}_1^m$ is:

$1+{\displaystyle \underset{i=1}{\overset{m}{}}}i$

Assume we count the empty subsequence as a consecutive subsequence. $(9$ marks$)$