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d-efine-the-i-1-5-a-i-10-kya-hai-




Question Number 7692 by Rohit last updated on 09/Sep/16
d efine the Σ_(i=1) ^5  a_i  =10   Σ kya hai
$${d}\:{efine}\:{the}\:\underset{{i}=\mathrm{1}} {\overset{\mathrm{5}} {\sum}}\:{a}_{{i}} \:=\mathrm{10}\:\:\:\Sigma\:{kya}\:{hai} \\ $$
Answered by prakash jain last updated on 11/Sep/16
Σ stands for summation notation.  i=1 below Σ is intial value of i.  5 at the top of Σ means 5 is the ending  value of i.  Σ_(i=1) ^5 a_i =a_1 +a_2 +a_3 +a_4 +a_5   more examples  Σ_(i=1) ^7 i=1+2+3+4+5+6+7  Σ_(i=1) ^3 2^i =2^1 +2^2 +2^3   Σ_(j=1) ^3 2^j =2^1 +2^2 +2^3
$$\Sigma\:\mathrm{stands}\:\mathrm{for}\:\mathrm{summation}\:\mathrm{notation}. \\ $$$${i}=\mathrm{1}\:{below}\:\Sigma\:\mathrm{is}\:\mathrm{intial}\:\mathrm{value}\:\mathrm{of}\:{i}. \\ $$$$\mathrm{5}\:{at}\:{the}\:{top}\:{of}\:\Sigma\:\mathrm{means}\:\mathrm{5}\:\mathrm{is}\:\mathrm{the}\:\mathrm{ending} \\ $$$$\mathrm{value}\:\mathrm{of}\:{i}. \\ $$$$\underset{{i}=\mathrm{1}} {\overset{\mathrm{5}} {\sum}}{a}_{{i}} ={a}_{\mathrm{1}} +{a}_{\mathrm{2}} +{a}_{\mathrm{3}} +{a}_{\mathrm{4}} +{a}_{\mathrm{5}} \\ $$$${more}\:{examples} \\ $$$$\underset{{i}=\mathrm{1}} {\overset{\mathrm{7}} {\sum}}{i}=\mathrm{1}+\mathrm{2}+\mathrm{3}+\mathrm{4}+\mathrm{5}+\mathrm{6}+\mathrm{7} \\ $$$$\underset{{i}=\mathrm{1}} {\overset{\mathrm{3}} {\sum}}\mathrm{2}^{{i}} =\mathrm{2}^{\mathrm{1}} +\mathrm{2}^{\mathrm{2}} +\mathrm{2}^{\mathrm{3}} \\ $$$$\underset{{j}=\mathrm{1}} {\overset{\mathrm{3}} {\sum}}\mathrm{2}^{{j}} =\mathrm{2}^{\mathrm{1}} +\mathrm{2}^{\mathrm{2}} +\mathrm{2}^{\mathrm{3}} \\ $$

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