1. Tardigrade
  2. Question
  3. Mathematics
  4. Consider two different infinite geometric progressions with their sums S 1 and S 2 as S 1= a + ar + ar 2+ ar 3+ ldots ldots ldots . . ∞ S 2= b + bR + bR 2+ bR 3+ ldots ldots ldots ldots∞ If S 1= S 2=1, ar = bR and ar 2=(1/8) then answer the following: The sum of their first terms is

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Q. Consider two different infinite geometric progressions with their sums $S _1$ and $S _2$ as
$S _1= a + ar + ar ^2+ ar ^3+\ldots \ldots \ldots . . \infty$
$S _2= b + bR + bR ^2+ bR ^3+\ldots \ldots \ldots \ldots\infty$
If $S _1= S _2=1, ar = bR$ and $ar ^2=\frac{1}{8}$ then answer the following:
The sum of their first terms is

Sequences and Series

Solution:

Correct answer is (a) 1