Generating Patterns and Arithmetic Sequence

Which of the following is the next three terms in the sequence 2, 5, 10, 17, 26, ...?

• 30, 42, 52

• 37, 41, 52

• 34, 42, 52

• 37, 50, 65

Which of the following sequences is generated by the formula  $a_n=\left(2n-1\right)^2$  ?

• 1, 5, 31, 47

• 1, 9, 25, 49

• 1, 5, 31, 49

• 1, 9, 26, 49

Generate the first four terms of the sequence  $a_n=a_{\left(n-1\right)}+n$  where  $a_1=9$  .

• 10, 11, 16, 18

• 9, 11, 14, 18

• 9, 11, 18, 18

• 9, 11, 16, 18

Which of the following is an arithmetic sequence?

• 1, 1, 2, 3, 5, 8, 13, ...

• 3, 6, 12, 24, 48, ...

• -7, -5, -2, 2,...

• -40, -33, -26, -19,...

Which of the following is the explicit formula of the sequence 27, 21, 15, 9, ...

• $a_n=21-6n$

• $a_n=33-6n$

• $a_n=23-8n$

• $a_n=27-6n$

Which of the following is the 52nd term of the sequence -13, -11, -9, -7,...?

• 140

• -115

• 191

• 89

Which of the following is the first 5 term of the sequence  $a_n=-20+\left(n-1\right)\left(-3\right)$  ?

• -20, -23, -26, -29, -32

• -23, -26, -29, -32, -35

• -24, -29, -34, -39, -44

• -24, -27, -30, -33, -36

What is the common difference of an arithmetic sequence whose 13th term is 1 and 36th term is -45?

• -1

• -2

• -3

• -4

Which of the following is the explicit formula of an arithmetic sequence whose 11th term is 56 and 34th term is 148?

• $a_n=13+3n$

• $a_n=12+4n$

• $a_n=17+n$

• $a_n=15+n$

The 14th term of an arithmetic sequence is 30 and the common difference is 2. What is the 52nd term?

• 99

• 106

• 105

• 201