Expert I Sequences and Series (11, only in math 20-1 not in math 20-2), Expert I Suites et séries (11, seulement en maths 20-1, pas en maths 20-2)

Question 1

What is an arithmetic sequence?

Qu’est-ce qu’une suite arithmétique ?

Answer 1

Question 2

What is the equation for the general term of an arithmetic sequence?

Quelle est l’équation du terme général d’une suite arithmétique ?

Answer 2

Question 3

What is an arithmetic series?

Qu’est-ce qu’une série arithmétique ?

Answer 3

Question 4

What are the two equations for working with an arithmetic series?

Quelles sont les deux équations permettant de travailler avec une série arithmétique ?

Answer 4

The first equation presented here is easiest to remember by finding the value of the midpoint of the numbers by adding the first and last term and dividing by 2. Then recognize that this is the exact same as the average of all the numbers. Then multiply that number by the total amount of terms, as if there are that many terms with a value the same as the average.

The second equation is just using both the first equation presented in this card and the other equation learned previously on the last card, subbed into each other. So you do not need to memorize it, but just use logic to develop it.

Question 5

What is a geometric sequence?

Qu’est-ce qu’une suite géométrique ?

Answer 5

Question 6

What is the formula for the general term of a geometric sequence?

Quelle est la formule du terme général d’une suite géométrique ?

Answer 6

Question 7

What is the formula for geometric series?

Quelle est la formule des séries géométriques ?

Answer 7

Use distributive property on this equation to help see how it was derived.