Mathematics
Grade10
Easy

Question

Write the recursive formula for a geometric sequence 2, 10, 50, 250, …

  1. a subscript n end subscript equals 5 left parenthesis 2 right parenthesis    
  2. a subscript n end subscript equals 5 open parentheses a subscript n minus 1 end subscript close parentheses    
  3. a subscript n end subscript equals a subscript n minus 1 end subscript    
  4. a subscript n end subscript equals 5    

Hint:

The recursive formula for a geometric sequence is a subscript n end subscript equals r open parentheses a subscript n minus 1 end subscript close parentheses

The correct answer is: a subscript n end subscript equals 5 open parentheses a subscript n minus 1 end subscript close parentheses


    The constant ratio of the given sequence is 5.
    The recursive formula for a geometric sequence is a subscript n end subscript equals r open parentheses a subscript n minus 1 end subscript close parentheses
    So, the recursive formula for the sequence 2, 10, 50, 250, … is a subscript n end subscript equals 5 open parentheses a subscript n minus 1 end subscript close parentheses

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