Find the sum of the finite arithmetic sequence. Sum of the integers from −100 to 30

find the sum of the finite arithmetic sequence. Sum of the integers from -100 to 30

Determine the seating capacity of an auditorium with 36 rows of seats when there are 15 seats in the first row, 18 seats in the second row, 21 seats in the third row, and so on.

Assume that

$$a _ { 1 } = - 5 , \sum _ { i = 1 } ^ { 10 } a _ { i } = 20,$$

and

$$\sum _ { i = 1 } ^ { 10 } b _ { i } = 7.$$

Calculate: (a)

$$\sum _ { i = 1 } ^ { 10 } \left( 4 a _ { i } + 3 \right)$$

(b)

$$\sum _ { i = 2 } ^ { 10 } a _ { i }$$

(c)

$$\sum _ { i = 1 } ^ { 10 } \left( 2 a _ { i } - 3 b _ { i } \right)$$

When European nations established colonies in Africa in the late 1800s, they?

Determine the truth value of each conditional statement. If true, explain your reasoning. If false, give a counterexample. If two angles are acute, then they are supplementary.

In cellular respiration where do the electrons in the electron transport chain come from and what is their final destination?

Find the sum of the finite arithmetic sequence. Sum of the integers from −10 to 50

In his first trip around a field, a farmer makes 123 bales. In his second trip, he makes 11 fewer bales. Because each trip is shorter than the preceding trip, the farmer estimates that the same pattern will continue. Estimate the total number of bales made when there are another five trips around the field.

find a formula for an for the arithmetic sequence. a1 = -4, a5 = 16

What were four factors that contributed to industrialization in Britain?

Which major planet has the largest . . . A. semimajor axis? B. average orbital speed around the Sun? C. orbital period around the Sun? D. eccentricity?

write an expression for the apparent nth term (an) of the sequence. (Assume that n begins with 1.) -2/3, 3/4, -4/5, 5/6, -6/7, . . .

An entrepreneur sells $15,000 worth of sports memorabilia during one year and sets a goal of increasing annual sales by$5000 each year for 9 years. Assuming that the entrepreneur meets this goal, find the total sales during the first 10 years of this business. What kinds of economic factors could prevent the business from meeting its goals?