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STANDARD 4.3 (GEOMETRY AND MEASUREMENT)
CLUSTER 3/STANDARD 3

SAMPLE TEST QUESTION

Standard 3, Strand A

The sequence 5, 25, 125, 625, … continues indefinitely. Analyze it in order to answer the following questions.

  • What is the 7th term of the sequence?
  • Describe the pattern you see in the sequence.
  • What algebraic expression represents the nth term?
 
The correct answer is C.
Rationale:

Each term of the sequence represents a power of 5.

Term:          5        25        125        625
                   51        52          53           54

Therefore, the 7th term of the sequence will be 57 which is equal to 78,125. The nth term is represented algebraically by 5n.