Box method, I don’t know the missing numbers

Which best explains why this triangle is or is not a right triangle?

For the rule of 78, for a 12-month period, the last term in the sequence is 12 and the series sums to 78. for an 10 month period, the last term is and the series sum is . for a 15 month period, the last term is and the series sum is . for a 20 month period, the last term is and the series sum is

What is the sum of the first 8 terms of the geometric series