-2
$\begingroup$

The question says - If $1^3+2^3+3^3+\cdots+10^3=3025$, then what is the value of the following series which is ?

$$4+32+108+\cdots+4000$$

$\endgroup$

closed as off-topic by Sahiba Arora, Simply Beautiful Art, Dando18, user223391, Ian Miller Aug 11 '17 at 15:11

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Sahiba Arora, Simply Beautiful Art, Dando18, Community, Ian Miller
If this question can be reworded to fit the rules in the help center, please edit the question.

  • 4
    $\begingroup$ Hint:$$4=4\times1^3\\32=4\times2^3\\108=4\times3^3\\\vdots$$ $\endgroup$ – Simply Beautiful Art Aug 11 '17 at 14:36
4
$\begingroup$

Answer is $12100$

Solution $-$ \begin{eqnarray*} 4 + 32 + 108 + \cdots + 4000 &=& 4 (1 + 8 + 27 + ….. 1000) \\ &=& 4 (1^3 + 2^3 + 3^3 + \cdots + 10^3 )\\ &=& 4 \times 3025 = \color{blue}{12100} \ (\text{Answer}) \end{eqnarray*} Go to http://jobsandhan.com/mcq-questions-answers/arithmetic-aptitude/ Question No $11$ and check solution

$\endgroup$
  • 2
    $\begingroup$ Great first answer. $\ddot \smile$ $\endgroup$ – Donald Splutterwit Aug 11 '17 at 14:46

Not the answer you're looking for? Browse other questions tagged or ask your own question.