Chapter 9

Question 1

What is the recursive formula of an arithmetic sequence?

Answer 1

a_n = a_n-1` + d

Question 2

What is the recursive formula of a geometric sequence?

Answer 2

a_n = a_n-1 × r

Question 3

What is the explicit formula of a geometric sequence?

Answer 3

a_n = a₁(r^n-1)

Question 4

What is the explicit formula of a arithmetic sequence?

Answer 4

a_n = a₁ + d(n-1)

Question 5

What is the formula of an arithmetic series?

Answer 5

S_n = (n/2)(a₁ + a_n)

Question 6

What is the finite formula of a geometric sequence?

Answer 6

S_n = a_<u>1</u>(1 - r^<u>n</u>)

1 - r

Question 7

What is the infinite converging formula of a geometric sequence?

Answer 7

S_n = a_<u>1</u>

Question 8

What is the infinite converging formula of a geometric sequence?

Answer 8

S_n = a₁/(1 - r)

Question 9

What is the infinite diverging formula of a geometric sequence?

Answer 9

No Sum

Question 10

What is the formula to find the mean of an arithmetic sequence?

Answer 10

a_n = (a_n-1 + a_n+1)/2

Question 11

What is the formula to find the mean of an geometric sequence?

Answer 11

a_n = √(a_n-1 × a_n+1)

Question 12

What is the summation notation?

Answer 12

upper limit

∑function

lower limit