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The sum of an infinite geometric sequence series with first term x and common ratio y < 1 is given by  The sum of a given infinite geometric series is 200, and the common ratio is 0.15. What is the second term of this series?
  • a)
    199.85
  • b)
    170
  • c)
    169.85
  • d)
    30
  • e)
    25.5
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
The sum of an infinite geometric sequence series with firs...
According to the question stem, the sum of the sequence is given by  Therefore, sum =  To solve this problem, first substitute the given values into the equation and solve for x:

The first term of the sequence, x, is 170. To find the value of the second term, multiply 170 by the common ratio, 0.15: 170 × 0.15 = 25.5.
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The sum of an infinite geometric sequence series with first term x and common ratio y < 1 is given byThe sum of a given infinite geometric series is 200, and the common ratio is 0.15. What is the second term of this series?a)199.85b)170c)169.85d)30e)25.5Correct answer is option 'E'. Can you explain this answer?
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