How To Find The Sum of an Arithmetic Series - Algebra

This algebra video tutorial explains how to find the sum of an arithmetic series using 2 formulas.
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[@TheOrganicChemistryTutor]

Sequences - Free Formula Sheet: bit.ly/4eau2KQ
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[@selaxbox7587]

Can you help me factor 16k³+24k²+9k+1 please

[@jin_cotl]

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[@bobbyjefferson9536]

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[@anastasiazin69]

Thankyouuuu, I've been stuck in this stupid assignment for like 3 hours

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[@maishasultana1520]

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[@kileyslife7541]

I already know this but gotta rewatch it to make SURE I know it for my exam at the end of the year👌

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[@JustBaileey]

I haven't come across any arithmetic sum series that calculate any negative decreasing sequences. For example i need to find the sum of the first 11 term numbers in a series 3,-1,-5,-9... I found nth rule to be Un=-4n+7 which gave me the last term -37. When I apply the Sn=n(a+l)/2 i get -187 but for some odd reason, I recall that we can't have a neative sum value. I could be wrong.

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[@Salah_-_Uddin]

Is it Paint or other software?

[@user-dh8pb9qi3q]

Where u get the -1 in both sides in the first example where 58=3n+1 you subtract each sides by 1?

[@blazemajorofficial]

yes you have to isolate n so first subtract 1 and divide both sides by 3 then n=19

[@josephmagnotti-jz5gy]

There's 54 increments of 3 from 4 to 58,, so
54 x 3 = 162, and 4 + 162 = 166.

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[@shadowdiamondfight9863]

Can someone derived the Formula 1 of this?
Sn = n/2 [ 2a1 + (n-1)d]
Please 😢

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