Question

Seo-Yun hosted a party. She had 50 party favors to give away, and she gave 3 party favors to each of her guests

as they arrived at the party.
Let g(n) be the number of party favors Seo-Yun had before the nth guest arrived.
g is a sequence. What kind of sequence is it?

Answer 1

Answer: Arithmetic sequence

Explanation:

50-3(n-1) is the sequence

Khan

Answer 2

Arithmetic sequence

Explanation:

-We notice that the difference between the number of favors already given out between any two consecutive number of party guests has an additive increment.

-This increment is called the Common Difference and has a value of 3.

-The number of tickets available is 50.

Hence, the number of tickets already given out can be calculated using the formula:

`a_n=-dn+S_n\\\\n= n^(th) \ guest\\d=common \ difference\\S_n=Total \ tickets \ available\\\\\therefore a_n=-3n+50`

Hence, this is an Arithmetic Sequence.