We use to determine the actual rate of change over intervals. the dependent variable

I think the correct answer is the last option. The term to fill in the blank is not one of the choices given. I think the term would be slope. We use slope to determine the actual rate of change over intervals. It is also called the gradient.  It shows how the dependent variable changes as the independent variable changes.

Determine whether  the  geometric series.  ∞. ∑  n=1  en. 3n−1  is  convergent  or  divergent. if it isconvergent, find its sum. answer: i can re-write the terms as en. 3n−1  (  n n  +  1. ) = lim  n→∞  sn = limn→∞. (−ln(n  +  1)) =  −∞, so the given series diverges. 48. find the values of x for which the series.  ∞. ∑n=1. (x  − 4)n converges.