# Arithmetic Sequences

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Problem #1
Which of the following is an arithmetic sequence?

Problem #2
$3,-2,-7,\cdots$ is an arithmetic sequence. What is the common difference of the sequence?

Problem #3
$a_1 =3$ and $a_2 = 7$. Which is true?

Problem #4
$a_3 = 4$ and $a_5 = 14$. What is the common difference?

Problem #5
If $a_1 = 4$ and the common difference is 3, then what is the sum of the first twenty terms of the sequence?

Problem #6
$a_1 = -3$ and $a_5 = 5$. Find $a_{10}$?

Problem #7
If $a_3 = 11$ and $a_5 = 7$ and $a_k$ is the k-th term of the sequence and $a_k = -9$, then what is the value of k?

Problem #8
If $a_n = 2n -8$, then which one is not a term of this sequence?

Problem #9
$-7,-4,-1,2,5, \cdots$ is an arithmetic sequence. What is the common difference?

Problem #10
$a_n = 3n+2$ and $b_n= 2-3n$ and $c_n = a_n +b_n$. Find $c_4$?

Problem #11
Let a, b, c are three consecutive terms of an arithmetic sequence. Which is true?

Problem #12
If $a_1 = 10$ and the common difference is -3, then:

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