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.

• Q8.Find the 5th term of GP, if it is given that $$sinx, \sqrt{2}\left(sinx+1\right),6sinx+6$$ are in GP.

  A) 81
  B) $$82\sqrt{2}$$
  C) 162
  D) None of these
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• Q9.If ${\displaystyle \sum }_{\text{p}=1}^{\text{n}}{\text{t}}_{\text{p}}=\frac{\text{n}\left(\text{n}+1\right)\left(\text{n}+2\right)\left(\text{n}+3\right)}{8}$, where $$t_p$$ denotes the pth term of a series, then $\underset{\text{n}\to \infty }{\lim }{\displaystyle \sum }_{\text{p}=1}^{\text{n}}\frac{1}{{\text{t}}_{\text{p}}}$ is

  A) 1/8
  B) 1/4
  C) 1/2
  D) 1
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• Q10.If ${\text{t}}_{\text{i}}>0, i = 1, 2, 3, \dots , 50{\text{ and t}}_1+{\text{t}}_2+{\text{t}}_3+\dots +{\text{t}}_{50}=50$ then the minimum value of $\frac{1}{{\text{t}}_1}+\frac{1}{{\text{t}}_2}+\frac{1}{{\text{t}}_3}+\dots +\frac{1}{{\text{t}}_{50}}$is equal to

  A) 150
  B) 100
  C) 50
  D) $${\left(50\right)}^2$$
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• Q11.If $1+\text{k}+{\text{k}}^2+\dots +{\text{k}}^{\text{p}}=\left(1+\text{k}\right)\left(1+{\text{k}}^2\right)\left(1+{\text{k}}^4\right)\left(1+{\text{k}}^8\right)\left(1+{\text{k}}^{16}\right),$then the value p is $$(wherep\in P)$$

  A) 32
  B) 16
  C) 31
  D) 15
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• Q12.The sum of k terms of the series $\frac{1}{1·2·3·4}+\frac{1}{2·3·4·5}+\frac{1}{3·4·5·6}+\dots$ is

  A) $\frac{\text{k}\left({\text{k}}^2+6\text{k}+11\right)}{18\left(\text{k}+1\right)\left(\text{k}+2\right)\left(\text{k}+3\right)}$
  B) $\frac{{\text{k}}^3+6}{18\left(\text{k}+1\right)\left(\text{k}+2\right)\left(\text{k}+3\right)}$
  C) $\frac{1}{18}-\frac{1}{3\left(\text{k}+1\right)\left(\text{k}+2\right)\left(\text{k}+3\right)}$
  D) $\frac{1}{6}-\frac{1}{2\left(\text{k}+1\right)\left(\text{k}+2\right)\left(\text{k}+3\right)}$
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• Q13.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) 2/5
  B) 1/5
  C) 1
  D) None of these
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• Q14.If it is given that $\frac{1}{1+\sqrt{\text{x}}},\frac{1}{1-\text{x}},\frac{1}{1-\sqrt{\text{x}}}$ are in AP then value of x will be

  A) (0, 1)
  B) $$1,\infty )$$
  C) $$0,\infty )$$
  D) None of these
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