The sum of the progression is 1 + x + x² + x³ + ......
 

  • A \(\frac{1}{1 - x}\)
  • B \(\frac{1}{1 + x}\)
  • C \(\frac{1}{x - 1}\)
  • D \(\frac{1}{x}\)
jamb 1978mathematics

The correct answer is A. \(\frac{1}{1 - x}\)

The sum of the infinite geometric series 1 + x + x² + x³ + ...... is given by the formula \(\frac{a}{1 - r}\), where \(a\) is the first term and \(r\) is the common ratio. In this case, \(a = 1\) and \(r = x\).

So, the sum of the series is \(\frac{1}{1 - x}\).

Previous question Next question