Find the value of term a14 in the sequence. 7, 2, -3, -8, -13...

-58

Step-by-step explanation:

The first term (a₁) is 7 and the common difference (d) is 2 - 7 = -5.

Explicit formula of arithmetic sequence: aₙ = a₁ + (n - 1) * d

aₙ = 7 + (n - 1) * (-5) = 7 - 5n + 5 = -5n + 12

Therefore, a₁₄ = -5 * 14 + 12 = -58.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: