Abhijit Guha Solutions for Chapter: Progression, Exercise 2: Practice Problems Level 2

The sum of the first $100$ terms common to the series $17, 21, 25\dots$ and $16, 21, 26\dots$ is:

The maximum sum of the A.P. series $40, 36, 32\dots$ is:

The $6\mathrm{th}$ term from the end of the geometric progress $8, 4, 2, 1, \frac{1}{2}, \frac{1}{4}\cdots \frac{1}{1024}$ is:

In an apple orchard, of $12,000$ apples harvested every third apple was too green, every $4\mathrm{th}$ apple was too small and every $10\mathrm{th}$ apple was bruised, the remaining apples were perfect. How many perfect apples were harvested?

If p, q, r are in geometric progression, then which is true among the following?

$(45+46+47+\dots +115)$ is equal to:

$1+(3+1)\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)\left(3^{32}+1\right)\dots$ is equal to:

The sum of the series $1+0.6+0.06+0.006+\dots$ is: