Progression

Are you preparing for campus placements,Banking,SSC, IAS, Insurance,Defence and other competitive exams? Then, make sure to take some time in practicing the Progression questions and answer in Quantitative Aptitude. Moreover, only those questions are included that are relevant and likely to be asked in any competitive exam. So, take these questions and answer, brush up your skills and practice to stay fully prepared for any your exam.

• Q15.${\displaystyle \sum }_{\text{r}=1}^{\text{n}}{\displaystyle \sum }_{\text{q}=1}^{\text{r}}{\displaystyle \sum }_{\text{p}=1}^{\text{q}}1$ is equal to

  A) $$\frac{\text{n}\left(\text{n}+1\right)\left(\text{n}+2\right)}{6}$$
  B) $${\displaystyle \sum n^2}$$
  C) $${}^n{C}_3$$
  D) $${ }^{n+2}{C}_3$$
  Show Solution Report Error

  Please Login here to view detailed solution of this question

  Please Login here to report us any error for this question

  

  Please wait...

• Q16.If ${\text{p}}^{\text{a}}={\text{q}}^{\text{b}}={\text{r}}^{\text{c}}$, where a, b, c are unequal positive numbers and p, q, r are in GP, then ${\text{a}}^3+{\text{c}}^3$ is :

  A) $$2b^3$$
  B) $$>2b^3$$
  C) $$=2b^3$$
  D) $$<2b^3$$
  Show Solution Report Error

  Please Login here to view detailed solution of this question

  Please Login here to report us any error for this question

  

  Please wait...

• Q17.The sum to infinity of the series, $1+2\left(1-\frac{1}{\text{k}}\right)+3{\left(1-\frac{1}{\text{k}}\right)}^2+\dots$ is

  A) $$k^2$$
  B) $$k\left(k+1\right)$$
  C) $$k{\left(1+\frac{1}{\text{k}}\right)}^2$$
  D) None of these
  Show Solution Report Error

  Please Login here to view detailed solution of this question

  Please Login here to report us any error for this question

  

  Please wait...

• Q18.In the given sequence 1, 3, 6, 10, 15, …, 5050 find the number of terms

  A) 50
  B) 75
  C) 100
  D) 125
  Show Solution Report Error

  Please Login here to view detailed solution of this question

  Please Login here to report us any error for this question

  

  Please wait...

• Q19.The sum of infinite terms of the series $\frac{9}{5^2\mathrm{.2.1}}+\frac{13}{5^3\mathrm{.3.2}}+\frac{17}{5^4\mathrm{.4.3}}+\dots$ is :

  A) $\frac{2}{5}$
  B) $\frac{1}{5}$
  C) 1
  D) None of these
  Show Solution Report Error

  Please Login here to view detailed solution of this question

  Please Login here to report us any error for this question

  

  Please wait...

• Q20.What is the sum of ‘n’ terms in the series?
  $\log m+\log \frac{m^2}{n}+\log \frac{m^3}{n^2}+\log \frac{m^4}{n^3}+\dots$

  A) $\log {\left[n^{\left(n-1\right)}/m^{\left(n+1\right)}\right]}^{n/2}$
  B) $\log {\left[m^m/n^n\right]}^{n/2}$
  C) $\log {\left[m^{\left(1-n\right)}/n^{\left(1-m\right)}\right]}^{n/2}$
  D) $\log {\left[m^{\left(n+1\right)}/n^{\left(n-1\right)}\right]}^{n/2}$
  Show Solution Report Error

  Please Login here to view detailed solution of this question

  Please Login here to report us any error for this question

  

  Please wait...

• Q21.If $1+\text{m}+{\text{m}}^2+\dots +{\text{m}}^{\text{n}}=\left(1+\text{m}\right)\left(1+{\text{m}}^2\right)\left(1+{\text{m}}^4\right)\left(1+{\text{m}}^8\right)\left(1+{\text{m}}^{16}\right)$, then the value n is (where$$n\in N$$)

  A) 32
  B) 16
  C) 31
  D) 15
  Show Solution Report Error

  Please Login here to view detailed solution of this question

  Please Login here to report us any error for this question

  

  Please wait...