Arithmetic and Geometric Sequences Practice

What is the next term of this sequence 3, 6, 9, 12?

• 13

• 14

• 15

• 16

Which of the following is an arithmetic sequence?

• 2,3,5,8

• 2,7,12,17

• 1,1,2,3,5

• 2,4,8,16

Which of the following algebraic expressions best describes the nth term of the arithmetic sequence? 7, 9, 11, 13,...

• a_n = 2 + 5n

• a_n = 5 + 2n

• a_n = 7n

• a_n = n + 5

Which equation best describes the nth term of the -1, 3, 7, 11,... ?

• a_n = 5n - 4

• a_n = 4n - 5

• a_n = 4n + 5

• a_n = 4n - 1

Which of the following is not an arithmetic sequence.

• 1,2,3,4,5

• 3,9,27,81

• 4.5 , 5.0 , 5.5 , 6.0,...

• 13, 2, -9 , -20, -31

What is NOT true about the following arithmetic sequence:

25, 32, 39, 46, ...

• The common difference is 7.

• The 7th term is 60.

• The sum of the first 10 terms is positive.

• The explicit formula is a_n = 18 + 7n.

which of the following is a geometric sequence?

• −1, 6, −36, 216, ...

• −2, −4, −8, −16, ...

• 2, 4, 6, 8, ...

• 4 , 8 , -16 , 32

What is the common ratio of this sequence 1/11 , 3/22 , 9/44 , 27/88, 81/176, ...?

• 1/2

• 1/4

• 3/2

• 5/4

The second and third term of a geometric sequence is 192 and 144 respectively , what is the common ratio?

• 1/4

• 1/2

• 3/4

• 1

The second and Fifth terms of a geometric series are 750 and -6 respectively , find the first term (a₁)?

• 3750

• -3750

• 2750

• -2750