For the following situations, define a function, f, that determines the number o

Question

For the following situations, define a function, f, that determines the number of people who learned the secret on a given day. Let n represent the day number and f(n) represent the number of people who learned the secret on day n. a. Assume that 6 people initially knew the secret and on day 1 they each tell 2 people. Everyone who learns the secret on a given day tells the secret to 2 new people the next day. in)-612*n) Preview b. Assume that 3 people initially knew the secret and on day 1 they each tell 4 people. Everyone who learns the secret on a given day tells the secret to 4 new people the next day. fn 322n)) Preview c. Assume that only one person initially knew the secret and on day 1 that person told 3 people. Everyone who learns the secret on a given day tells the secret to 3 new people the next day. kelTr Preview f(n) syntax error =

Explanation / Answer

c. Solution: Initially only one person knew the secret and on day 1 that person told 3 people. Everyone who learns the secret tells 3 new people the next day.

Thus on second day the number of people knew the secret = 9

= 3^2.

Therefore the number of people who learned the secret on day n,

f(n) = 3^n. Ans

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.