# Arithmetic and Recursive Sequence

**Arithmetic and Recursive Sequence**

Practice

- Write the next 5 terms of each sequence. Given: a1 = 2 and d = 4

- Write a recursive formula and an arithmetic sequence formula that fits the following sequence: 1, 5, 9, 13,17

- Given the following sequence, write a recursive formula, and an arithmetic sequence formula; then find thenext three numbers in the sequence: 3, -4, -1, -5, -6, -11, -17

- A sequence in which you know the previous term in order to find the next term is:

- Why is the sequence of odd numbers linear?

- Which type of sequence has a common difference?

7. Given the following sequence of numbers find the recursive formula, the arithmetic sequence formula, andfind the next three numbers in the sequence

- 1, 5, 9, 13, 17

- -1, 3, 2, 5, 7, 12, 19

- -4, 16, -64, 256, -1024

Word problems: for each of the following word problems write a recursive and a arithmetic sequence formula,then use the one of the formulas to answer the questions.

9. Albert’s 2016New Year’s resolution is to start saving some money because his mom told him it is a good habit. He is going to save $50 each week during the entire year. So, he went to a bank andopened a savings account with $100. Assume there are 52 weeks in a year and that the bank won’t give himany interests. How much money will he have in the account the 3rd week? He is going to check his account after 42 weeks, how much money should he have?

10. A triangle has 3 sides and the sum of all its interior angles is 180 degrees, a quadrilateral has four sides

and the sum of its interior angles is 360 degrees, a pentagon is a 5 sided polygon (it has five sides) and the sum of its interior angles is 540 degrees. Find the sum of the interior angles of a hexagon, heptagon, a decagon and a polygon with 20 sides.

11. Maria wants to make some money to buy a nice valentine gift to her intelligent boyfriend (he is very good

at math that is why she fell in love with him). She plans to sell baskets with cute little stuff bears for Valentine’s Dayat her High School. She has 5 of those baskets left from the previous year. She can make 10 basketseach dayafter schoolafter she finishes her homework. If she starts working on January 16th, and plans to stop making basket on February 10th, (so she can have time to advertise and sell the baskets before Valentine’s Day), how many baskets will she have on January 20th? How many baskets will she have done by February 1st? If she sells each basket at $5, how much money will she have if she sells all her baskets?

12. In a College football stadium there are 200 seats in the front row in one section. in the second row there are 220 seats, the third row has 240 seats, if this arrangement continues, how many seat willtherebe in row 10? How many seats will the section have in total if there are 30 rows?