7) What does an explicit formula do?a) Represents recursive processesb) Defines the nth term based on previous termsc) Solves complex problemsd) Defines the nth term independently of previous terms

13) What is the primary difference between an explicit formula and a recurrence relation?a) An explicit formula defines terms independently while a recurrence relation defines terms based on preceding termsb) An explicit formula is recursive while a recurrence relation is notc) There is no difference between an explicit formula and a recurrence relationd) An explicit formula is used in arithmetic sequences while a recurrence relation is used in geometric sequences

6) In sequences, how is recursion often utilized?a) To determine the common ratiob) To define sequencesc) To find the common differenced) To calculate the explicit formula

9) What is a recurrence relation?a) A method of defining a sequence where each term is a function of the preceding termsb) A method of finding the common ratio in geometric sequencesc) A method of defining sequences independently of previous termsd) A method of solving complex problems using recursion

Which of the following recursive formulas represents the same geometric sequence as the formula an = 2 • 3(n – 1)?A.{𝑎1=3𝑎𝑛=𝑎𝑛−1∙2{ a 1​ =3a n​ =a n−1​ ∙2​ B.{𝑎1=3𝑎𝑛=𝑎𝑛−1+2{ a 1​ =3a n​ =a n−1​ +2​ C.{𝑎1=2𝑎𝑛=𝑎𝑛−1∙3{ a 1​ =2a n​ =a n−1​ ∙3​ D.{𝑎1=2𝑎𝑛=𝑎𝑛−1∙6{ a 1​ =2a n​ =a n−1​ ∙6​ SUBMITarrow_backPREVIOUS

3. Find the first five terms of the sequence defined by each of these recurrence relations andinitial conditions.a) an = 6an−1, a0 = 2 b)21 1, 2n na a a  c) an = an−1 + 3an−2, a0 = 1, a1 = 2