What is the sum of the series?
10
Σ(7k– 2)
k=1

365

Step-by-step explanation:

The simplest method is to substitute values of k = 1 to 10 into the expression and sum the terms, that is

7(1) - 2 + 7(2) - 2 + 7(3) - 2 + 7(4) - 2 + 7(5) - 2 + 7(6) - 2 + 7(7) - 2 + 7(8) - 2 + 7(9) - 2 + 7(10) - 2

= 5 + 12 + 19 + 26 + 33 + 40 + 47 + 54 + 61 + 68

= 365

step-by-step explanation:

i think you should think about the question and not look online.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.