Alg. 1 Unit 1
Arithmetic Sequences
Name______________________________________________
Date__________________________Per__________________
Part 1
a) Determine if the sequence is arithmetic. (3pts)
b) If it is find the common difference. If it is not an arithmetic sequence tell me why it is not.(3pts)
1) 10, 4, -2, …
a)
b)
2) 1, 5, 25, …
a)
b)
Part 2
Given the first term and the common difference of a sequence:
a) find the first five terms.
b) write a recursive formula
c) write an explicit formula (3pts each)
3) a1 = 28, d = 10
4) a1 = 35, d = -4
a)_______________
a)________________
b)_______________
b)________________
c)_______________
c)________________
Part 3
Given the sequence: a) write the explicit formula and b) find the 97th term. SHOW ALL WORK!! (3pts each)
5) 35, 32, 29, 26, …
6) 9, 14, 19, 24, …
a) _______________
a)__________________
b) a97 =
b) a97 =
___
Part 4
Write the explicit formula for the arithmetic sequence to solve the following real life situation. Show all work and
answer in a complete sentence. (4pts each)
7) Edgar is getting better at math. On his first test he scores 50 points, then he scores 53, 56, 59, and 62 on his next 4
tests and his scores increase arithmetically thereafter. If he takes 17 tests how many points will he earn on the last test?
8) Hector gets better and better at a video game every time he plays. He scores 20 points in the first game, 25 on the
second, 30 in the third and so on. How many points will he score in his I5th, game?
Part 5
Use the table test method to write the explicit function and find the 53rd term. (15 pts each)
9) 2, 6, 10, 14, …
n
an
Test
Add/subt.
Explicit formula
an =
10) 8, 3, -2, …
n
an
Test
Add/subt.
Explicit formula
an =