Question

consider the recursive formula.U0 = 450Un = 0.75Un-1 + 210 where n > 1Find U1, U2, U3, U4, and U5.

Answer 1

Step 1: We have the following recursive formula:

Un = 0.75Un-1 + 210 where n > 1 and U0 = 450

Step 2: Let's find U1:

U1 = 0.75 * 450 (U0) + 210

U1 = 337.5 + 210

U1 = 547.5

Step 3: Let's find U2:

U2 = 0.75 * 547.5 (U1) + 210

U2 = 410.625 + 210

U2 = 620.625