Q1The first term in a sequence is 22. Each term after the first term is 2 more than the term before it. Find the recursive formula for the sequence.
A. an = an - 12, where n ≥ 2
B. a1 = 22, an = an - 1 + 2, where n ≥ 2
C. a1 = 22, an = an - 1 - 2, where n ≥ 2
D. an = 2an - 1, where n ≥ 2

Q2The numbers of coins of different countries collected by Jason are 7, 11, 15, 19, 23, 27.Find the recursive formula and also find the value of a₁₀

A. a_n = a_n + 4, a₁₀ = 43
B. a_n = a_{n - 1} + 2, a₁₀ = 43
C. a_n = a_{n - 1} + 4, a₁₀ = 43
D. a_n = a_{n + 1} + 4, a₁₀ = 43

Q3A survey was conducted by a sports channel, about the favorite sport of the people in a locality. The table shows the favorite sport and the number of people like. Find the recursive process.

A. a_n = a_{n - 1}, n ≥ 2
B. a₂ = a_{n - 1} + 2, n≥1
C. a_n = a_{n - 1} + 1, n ≥ 2
D. a_n = a_{n - 1} + 2, n ≥ 2

Q4The number of roses grown in 4 gardens in a particular month is, 12, 36, 108, and 324. Which of the following is a recursive formula for number of roses grown?

A. a_n = 3a_{n - 1}, n≥2
B. a_n = 3a_{n + 1} , n≥2
C. a_n = 3a_n, n≥2
D. a_n = 2a_{n - 1}, n≥2

Q5The heights (in cm) of 5 students are 100, 110, 120, 130, and 140. Find the recursive formula for the heights of students.
A. a_n = a_{n - 1} + 1, n≥2
B. a_n = a_n + 10, n≥2
C. a_n = a_{n + 1} + 10, n≥2
D. a_n = a_{n - 1} + 10, n≥2

Q6The students in the 4th grade are going on a field trip to the local paper mill, by 4 buses. The first bus has 15 students, second has 30 students, third has 45 students and fourth bus has 60 students. Which of the following is true for the recursive formula of the number of students?

A. a_n = a_{n + 1} + 10, n≥2
B. a_n = a_{n - 1} + 10, n≥2
C. a_n = a_{n - 1} + 15, n≥2
D. a_n = a_{n + 1} + 15, n≥2