Mathematics
Grade10
Easy

Question

The sum of the terms of the sequence not stretchy sum from n equals 1 to 5 of fraction numerator 1 over denominator 2 end fraction open parentheses 3 close parentheses to the power of n minus 1 end exponent is _____.

  1. 3    
  2. 7    
  3. fraction numerator 1 over denominator 2 end fraction    
  4. 8    

Hint:

The sum of terms of a geometric progression is given by S subscript n equals a subscript 1 fraction numerator open parentheses r to the power of n minus 1 close parentheses over denominator open parentheses r minus 1 close parentheses end fraction

The correct answer is: 8


    The sum of terms of the sequence not stretchy sum from n equals 1 to 5 of fraction numerator 1 over denominator 2 end fraction open parentheses 3 close parentheses to the power of n minus 1 end exponent is S subscript n equals a subscript 1 fraction numerator open parentheses r to the power of n minus 1 close parentheses over denominator open parentheses r minus 1 close parentheses end fraction
    S subscript n equals a subscript 1 fraction numerator open parentheses r to the power of n minus 1 close parentheses over denominator open parentheses r minus 1 close parentheses end fraction1 half cross times fraction numerator 3 to the power of 5 minus 1 over denominator 3 minus 1 end fraction

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