Find the sum of the infinite series 1 2 3 + 1 4 5 + 1 6 7 + :
Mathematics · JEE Main · NTA Exams — Progression and Series
Find the sum of the infinite series \(\frac{1}{2 \cdot 3}+\frac{1}{4 \cdot 5}+\frac{1}{6 \cdot 7}+\ldots \infty\) :
- \(\log _{x} 2\)
- \(\log _{r}\left(\frac{e}{2}\right)\)
- \(\frac{1}{2} \cdot \log _{\mathrm{e}} \mathrm{e}\)
- None of these
Answer
(D) None of these
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Given below are two statements. One is labelled as Assertion and the other is labelled as Reason. STATEMENT …
- The sum to n terms of the series 3 1^ 2 + 5 1^ 2 +2^ 2 + 7 1^ 2 +2^ 2 +3^ 2 + , is
- Let a_ 1 , a_ 2 , , a_ 1 be in AP and h_ 1 , h_ 2 , ., h_ 1 , be in HP. If a _ 1 = h _ 1 = Z and a_ 1! =h_ 1!…
- Let a, b and c be the 7 th , 11 th and 13 th terms respectively of a non-constant A.P. If these are also the…
- If a_ 1 , a_ 2 , a_ 3 , a_ n are in H.P then a_ 1 a_ 2 +a_ 3 + +a_ n a_ 2 a_ 1 +a_ 3 + +a_ n a_ 3 a_ 1 +a_ 2…
- If the sum of an infinite decreasing GP is 3 and the sum of squares of it's terms is 9/2, then the sum of…
- STATEMENT - 1 (Assertion): If x^ 2 +9 y^ 2 +25 z^ 2 =x y z ( 15 x + 5 y + 3 z ) . then x, y, z are in HP…
- If sixth term of an H.P. is 1 61 and its tenth term is 1 105 , then first term of that H.P. is :
More Progression and Series questions · Browse all practice questions