I need some SERIOUS algebra 2 help?

Question

Consider the arithmetic sequence 6, 3, 0, -3, -6, -9....

Write a recursive formula that describes this sequence. Use Uo for the starting term?

Write an explicit formula for this sequence?

Determine the value of U27?

If you were to plot (n, Un) for this sequence and then draw a line through the points, what would be the slope and the y-intercept of the line?

Answer 1

Recursive: u(0) = 6; for n > 0, u(n) = u(n-1) - 3
Explicit: u(n) = 6 - 3*n
u(27) = 6 - 3*27 = 6 - 81 = -75
Slope = du(n)/dn = -3
Y intercept = 6