Mathematics
Grade10
Easy

Question

Find the first term of the sequence given by S subscript n end subscript equals 5 open parentheses fraction numerator 1 minus open parentheses fraction numerator 2 over denominator 3 end fraction close parentheses to the power of n end exponent over denominator fraction numerator 1 over denominator 3 end fraction end fraction close parentheses.

  1. fraction numerator 1 over denominator 3 end fraction    
  2. fraction numerator 3 over denominator 2 end fraction    
  3. 5    
  4. 6    

Hint:

The sum of n terms of a geometric sequence is given by S subscript n end subscript equals fraction numerator a subscript 1 end subscript open parentheses 1 minus r to the power of n end exponent close parentheses over denominator left parenthesis 1 minus r right parenthesis end fraction, where a subscript 1 end subscript is the first term and r is the common ratio and n is the number of terms.

The correct answer is: 5


    The sum of n terms of a geometric sequence is given by S subscript n end subscript equals fraction numerator a subscript 1 end subscript open parentheses 1 minus r to the power of n end exponent close parentheses over denominator left parenthesis 1 minus r right parenthesis end fraction, where a subscript 1 end subscript is the first term and r is the common ratio and n is the number of terms.
    The first term of the sequence is 5.

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