Assertion : The sum of an infinite A.G.P. a + (a + d) x + (a + 2d) x 2 + (a + 3d) x 3…
Mathematics · JEE Advanced · NTA Exams — Progression and Series
Assertion : The sum of an infinite A.G.P.
a + (a + d) x + (a + 2d) x2 + (a + 3d) x3 +.........., where
| x | < 1 always exist.
Reason : The sum of the infinite series
a + ar + ar2 + ......... converges if | r | < 1 .
a + (a + d) x + (a + 2d) x2 + (a + 3d) x3 +.........., where
| x | < 1 always exist.
Reason : The sum of the infinite series
a + ar + ar2 + ......... converges if | r | < 1 .
- If both assertion and reason are correct and reason is the correct explanation of assertion.
- If both assertion and reason are true but and reason is not the correct explanation of assertion.
- If assertion is true but reason is false.
- If assertion is false but reason is true.
Answer
(A) If both assertion and reason are correct and reason is the correct explanation of assertion.
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