Answer:
The common difference would be [tex]\frac{788}{99}[/tex] or [tex]7\frac{95}{99}[/tex].
Step-by-step explanation:
- We must first recall the formula for arithmetic sequence/progression.
[tex]a_{n}=a_{1}+(n-1)d[/tex] - Distinguish all of the given terms in the formula, and find what is being asked.
[tex]a_{100}=800\\a_{1}=12\\n=100\\d=?[/tex] - Substitute all of the given values in the formula above.
[tex]a_{n}=a_{1}+(n-1)d\\a_{100}=a_{1}+(n-1)d\\800=12+(100-1)d\\800=12+(99)d\\800-12=99d\\99d=788\\d=\frac{788}{99}\\ \\d=7\frac{95}{99}[/tex]
Reference Explanation: brainly.ph/question/29295726
