Mathematics
Grade10
Easy

Question

An exponential function is related to a geometric sequence a subscript n end subscript equals 6 open parentheses 5 close parentheses to the power of n minus 1 end exponent. Find the initial value of the exponential function.

  1. fraction numerator 1 over denominator 3 end fraction    
  2. fraction numerator 3 over denominator 2 end fraction    
  3. 2    
  4. 6    

Hint:

Using the explicit formula, a subscript n end subscript equals a subscript 1 end subscript cross times open parentheses r close parentheses to the power of n minus 1 end exponent ,a subscript 1 is the first term

The correct answer is: 6


    The exponential function can be written as a geometric sequence with the first term and constant ratio using the explicit formula.

    The initial value of the given exponential function is 6.

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