4 JEE Main 2005 Sequences and Series previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2005 previous-year questions from the Sequences and Series chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Sequences and Series chapter hub.
If non-zero numbers a, b, c are in H.P., then the straight line (x)/(a)+(y)/(b)+(1)/(c)=0 always passes through a fixed…
If in a triangle ABC, the altitudes from the vertices A, B, C on opposite sides are in H.P., then A, B, C are in
If x=₌₀\ⁱⁿfty aⁿ, y=₌₀\ⁱⁿfty bⁿ, z=₌₀\ⁱⁿfty cⁿ where a, b, c are in A.P. and |a| < 1,|b| < 1,|c| < 1, then x, y, z are…
The sum of the series 1+(1)/(4.2 !)+(1)/(16.4 !)+(1)/(64.6 !)+… … … ad inf. is