Mathematics
Grade10
Easy

Question

What is the 10th term of the geometric sequence 1, 4, 16, 64…?

  1. 5376    
  2. 1208    
  3. 9221    
  4. 262144    

hintHint:

The  explicit formula is, 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

The correct answer is: 262144


    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
    For the given sequence, the constant ratio is fraction numerator 4 over denominator 1 end fraction equals 4
    So, a subscript 10 end subscript equals 1 cross times open parentheses 4 close parentheses to the power of 9 end exponent
    = 262144

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