1)Rewrite the table: 70, 49, 34.3, 24.01, 11.807 {The original size of the wound =70}
2) write the quotient of each number by the number before & notice the value:
49/70= 0.7 34.3/49 = 0.7 24.01/34.3 =0.7 16.0807/24.01 = 0.67 ≈0.7 You notice this is a geometric progression with r 0.7 The last term in a GP =ar^⁽ⁿ⁻¹⁾
3) Domain and Range of this function: Last term = a₁.rⁿ⁻¹. let last term be y==> f(n) = y =70(0.7)ⁿ⁻¹ or f(n) = y = 70(0.7)ⁿ / 0.7==> f(n) = [(0.7)ⁿ ]/ 100. This is a decreasing exponential function where the coefficient raised to n is < 1. The domain is for all n>= 0. When n→∞, f(n)→0; For n=0==>f(n) =70. So the range of f(n) is:<=70
