Mathematics
Grade10
Easy

Question

Write a formula to describe the sequence 1, 3, 9, 27…

  1. a subscript n end subscript equals 9 open parentheses a subscript n minus 1 end subscript close parentheses    
  2. a subscript n end subscript equals 3 to the power of n minus 1 end exponent    
  3. a subscript n end subscript equals a plus open parentheses n minus 1 close parentheses d    
  4. a subscript n end subscript equals 3 open parentheses 1 close parentheses to the power of n minus 1 end exponent    

Hint:

The given series is a geometric progression with first term 1 and constant  ratio 3

The correct answer is: a subscript n end subscript equals 3 to the power of n minus 1 end exponent


    The constant ratio of the given sequence is 3.
    The first term is 1.
    The recursive formula to describe the sequence is a subscript n end subscript equals 3 open parentheses a subscript n minus 1 end subscript close parentheses
    The explicit formula to describe the sequence is a subscript n end subscript equals 1 open parentheses 3 close parentheses to the power of n minus 1 end exponent

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