Arithmetic and Geometric Sequence Practice

Given the sequence 7, 12, 17, ..., find the explicit equation.

• t(n) = 7 + 5n

• t(n) = 5 + 2n

• t(n) = 2 + 5n

• t(n) = 5 + 7n

If the explicit equation for a sequence is t(n) = -8 + 3n, is 42 a term in the sequence?

• Yes

• No

If the explicit equation for a sequence is t(n) = 11 - 5n, is -134 a term in the sequence?

• Yes

• No

If the explicit equation for a sequence is t(n) = 3n - 17, is 67 a term in the sequence?

• Yes

• No

• Arithmetic

• Geometric

Answer explanation

Percentages are almost always Geometric.

Write the explicit equation for the given graph.

• t(n) = 1 + 3n

• t(n) = 3n

• t(n) = -2 + 3n

• t(n) = 3 - 2n

Write the explicit equation for the following sequence:  -8, -11, -14,...

• t(n) = -8 - 3n

• t(n) = -5 + 3n

• t(n) = -8 + 3n

• t(n) = -5 - 3n

Given the sequence 50, 47, 44,..., find the 67th term in the sequence.

• -201

• -151

• -148

Does the graph shown represent an arithmetic or geometric sequence?

• Arithmetic

• Geometric

Is this sequence Geometric or Arithmetic?

3, 6, 9, 12,...

• Geometric

• Arithmetic

• Both

• Neither