Answered

IDNLearn.com provides a collaborative environment for finding and sharing knowledge. Whether your question is simple or complex, our community is here to provide detailed and trustworthy answers quickly and effectively.

If f(1) = 10 and f(n) = 2f(n - 1) then find the value of f(6).

Sagot :

VectorFundament120idn

Answer:

f(6) = 320

Step-by-step explanation:

This is similar to Recurrence Relation;

First off, let's find f(2)

  • f(2) = 2f(2-1) = 2f(1) = 2•10 = 20

Then find f(3) up to f(6)

  • f(3) = 2f(3-1) = 2f(2) = 2•20 = 40
  • f(4) = 2f(4-1) = 2f(3) = 2•40 = 80
  • f(5) = 2f(5-1) = 2f(4) = 2•80 = 160
  • f(6) = 2f(6-1) = 2f(5) = 2•160 = 320

Thus, f(6) is 320

Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Thank you for visiting IDNLearn.com. We’re here to provide clear and concise answers, so visit us again soon.