Problem Solving

On a scale that measures the intensity of a certain phenomenon, a reading of n+1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of n. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3?

A. 5
B. 50
C. 10^5
D. 5^10
E. 8^10 - 3^10

If the reading on the scale is 4, then the intensity is 10 times the intensity of 3. If the reading is 5, then the intensity is 10 time the intensity at 4 which is equal to 100 times the intensity at 3, and so one. Accordingly the intensity at 8 is 10^5 that of 3.

jfranco23 wrote:On a scale that measures the intensity of a certain phenomenon, a reading of n+1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of n. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3?

A. 5
B. 50
C. 10^5
D. 5^10
E. 8^10 - 3^10

f(n+1)= 10* f(n)

f(8)= 10*f(7) = 100 * f(6) = 1000 * f(5) = 10000 * f(4) = 100000 * f(3)


SO f(8)=10^5f(3) = Answer