SL06Summary
ArithmeticSeries
Find𝑡! :17,7,-3,...𝑡!" = ?
Find𝑡! :Aserieshasa5thtermof10andan11thtermof-10.Findthefirstterm.
Find𝑑:Aseriesof9numbershasasumof36andthefirsttermis-16.Findthecommon
difference,d.
Find𝑛:Aseriesofnumbershada3rdtermof11andthesumofthentermsis78.Findnthe
numberoftermsintheseries.
GeometricSeries
Find𝑡! :Aserieshasa4thtermof32andan8thtermof0.125.Findthecommonratio,r.
Find𝑡! :Aserieshasa2ndtermof54andthesumofthefirst6termsis83979.Findthefirst
term.
Find𝑟:Aseriesof9numbershasasumof36andthefirsttermis-16.Findr,thecommon
ratio.
Find𝑛:Aseriesofnumbershada5thtermof-112andthesumofthentermsis28665.Find
nthenumberoftermsintheseries.
SummationNotation
Usingtechnologyfind,correctto3significantfigures,
Withouttechnologyfind:
!"
!!!
1 !
𝑛 2
!!
!!!!"
𝑛 ∙ 𝑙𝑜𝑔! (3𝑛 + 100)
!"
2𝑛
!!!
WordProblems
1.Anarithmeticsequencehasa10thtermof17anda14thtermof30.Findthecommon
difference.
2.Thesecondtermofanarithmeticsequenceis7.Thesumofthefirst4termsofthearithmetic
sequenceis12.Findthefirsttermt1,andthecommondifference,d,ofthesequence.
3.The10thtermofanarithmeticsequenceis10andthesumofthefirst10termsis-35.Find
thefirsttermt1,andthecommondifference,d,ofthesequence.
4.Jerrydeposited$20,000onaninvestmentthatwillgive$1,750foreveryyearthathismoney
staysintheaccount.Howmuchmoneywillhehaveinhisaccountbytheendofyear8?
5.Thereisastackoflogsinthebackyard.Thereare15logsinthe1stlayer,14inthesecond,13
inthethird,12inthefourth,andsoonwiththelastlayerhavingonelog.Howmanylogsarein
thestack?
6.Inhispiggybank,Bingodropped$1.00onMay1,$1.75onMay2,$2.50onMay3andsoon
untilthelastdayofMay.
(a)HowmuchdidhedropinhispiggybankonMay19?
(b)WhatwashistotaldepositinhispiggybankforthemonthofMay?
7.Thereare20rowsofseatsonaconcerthall:25seatsareinthe1strow,27seatsonthe2nd
row,29seatsonthe3rdrow,andsoon.Ifthepriceperticketis$2,300,howmuchwillbethe
totalsalesforaone-nightconcertifallseatsaretaken?
8.Soniahas55blocks.Shedecidestostackupalltheblockssothateachrowhasonelessblock
thantherowbelow.Shewantstoendupwithjust1blockontop.Howmanyshouldsheputin
thebottomrow?
9.Atheaterhas32rowsofseats.Ifthereare26seatsinthe1strow,30inthe2nd,34inthe3rd,
andsoon,howmanyseatsarethereinall?
10.Atubewellisbored800metersdeep.The1stmetercosts$250andthecostpermeter
increasesby$50foreverysubsequentmeter.Findthecostofboringthe750thmeterandthe
totalcostincurredfortheentirejob.