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Class 12

MATHS

PROGRESSION AND SERIES

Updated On: 7-5-2021

Answer

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Solution

<br>

<br>

<br>

, where V( r)=

<br>

Required sum=

<br>

<br>

<br>

<br>

<br> Note : If we have general as

, where

are in A.P., then we multiply and divided by the difference

.

Transcript

Time | Transcript |
---|---|

00:00 - 00:59 | the passionate find some Commission are from 12 and 1 by hour into a + 1 into 1 + 2 into 1 + 3 and also fine 12 Infinity one why are into a + 1 into 1 + 2 into 1 + 3 now first letter considered this expression from 12 air 1 hour into our + 1 into 1 + 2 into 1 + 3 now I am multiplying and dividing by 3 r + 1 + 2 + Bihar commission from 12 and now hair if I add and subtract are that in this submission |

01:00 - 01:59 | are from 12 and here I am adding R + 3 / 3 hour into our + 1 + 2 + 3 I have to subtract are also to this will be a commission from 1 to 1 by are into 8 + 1 + 2 into 8 plus now equal to this is a Commission or from 12 and hair this are plus 3 will get cancelled with this will get cancelled with this and I will get cancelled when did now this will be one upon |

02:00 - 02:59 | 3r + 1 into 1 + 2 and minus Commission are from 12 and this is 1 upon 3 + 1 + 2 into 1 + 3 if I combine both of these terms then this is 1 by 3 Commission are from 12 and 1 by hour into our + 1 into our + 2 - 1 by 4 + 1 + 2 + now it will take the values of R that is this is 1 by 3 if I take are equal to 1 then this will be 1 upon 1 into 2 into 3 minus one upon this will |

03:00 - 03:59 | be 2 into 3 into 4 + now if I take are equal to 2 then this will be 1 by 2 into 3 into 4 - this will be 3 into 4 into 5 if I take 2-3 then this will be 3 into 4 into 5 minor disturb will be poured into 5 into thick and so on update if it is equal to air then this will be won by and into n + 1 into n + 2 - 1 by n + 1 into n + 2 into n plus 3 now if we observe that |

04:00 - 04:59 | here this some will get cancelled with this this item will get cancelled with this that s is bracket will get cancelled with for stomach bracket that is also hear this will get cancel and with the progress of hair we have similar to this with negative sign so here we will have this is equals to 1 by 3 into hair this is 1 by 3 into 2 is a minus one upon this is and + 1 into 1 + 2 and + now this is we have got this is the mission are from 12 air submission are from 1 to end this wall one by our into |

05:00 - 05:59 | our plus one into one by hour into a + 1 into 1 + 2 into 1 + 3 so this value we have got this is equal to 1 by 3 into 1 by 6 minus 1 upon 1 + 1 into 1 + 2 into 1 + 3 now we also had to find this Commission for equal to 120 hair this will be Sameer are from 1 to infinity one by our into our + 1 into our + 2 into 1 + 3 this will be limit and approaches to infinity summation from 1 to n one by R and 2r + 1 |

06:00 - 06:59 | into 1 + 2 into X + 3 and they have this value of this commission is this letter substitute the value hair limit n approaches to infinity display 1 by 3 into 1 by 3 minus one upon and plus one n + 2 and + now we know that 1.0 if we apply the limit then this will be this will become zero so this will be 1 by 3 into 1 by 6 - 0 1 by 3 into 1 by 6 which is equals to |

07:00 - 07:59 | 1 by 18 so summation are from 1 to infinity one by R and 2r + 1 into 1 + 2 into 1 + 3 is equal to 11 18 which is the required per day cost and we're done thank you |

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