Dab tsi yog qhov txawv ntawm cov lej geometric thiab geometric series?
Dab tsi yog qhov txawv ntawm cov lej geometric thiab geometric series?

Video: Dab tsi yog qhov txawv ntawm cov lej geometric thiab geometric series?

Video: Dab tsi yog qhov txawv ntawm cov lej geometric thiab geometric series?
Video: Mathematics with Python! Sequences 2024, Kaum ib hlis
Anonim

Dab tsi yog qhov txawv ntawm cov lej geometric thiab geometric series ? A geometric suav yog cov sum ntawm ib tug finite tus naj npawb ntawm cov nqe lus uas muaj ib tug tas mus li piv piv txwv li txhua lub sij hawm yog ib tug tas mus li ntau yam ntawm lub sij hawm dhau los. A Geometric series yog cov sum ntawm infinitely ntau cov nqe lus uas yog txwv ntawm nws ib ntus ntawm ib nrab sums.

Tsis tas li ntawd, dab tsi yog qhov txawv ntawm geometric sequence thiab geometric series?

nyob rau hauv ib tug geometric sequence , cov nqe lus tsuas yog teev. nyob rau hauv ib tug geometric series , cov ntsiab lus tau ntxiv ua ke. a geometric kab zauv rau infinity yuav tso koj nrog tus lej infinite ntawm cov nqe lus. tsis muaj nqi kawg nkaus, txawm hais tias cov ntsiab lus tuaj yeem hloov mus rau ib qho.

Ib yam li ntawd, dab tsi yog qhov suav ntawm geometric series? Nyob rau hauv thiaj li yuav infinite Geometric series kom muaj ib sum , qhov sib piv r yuav tsum nyob nruab nrab ntawm −1 thiab 1. Kom pom qhov sum ntawm ib qho infinite Geometric series muaj qhov sib piv nrog tus nqi tiag tiag tsawg dua ib qho, siv tus qauv, S = a11−r, qhov twg a1 yog thawj lub sij hawm thiab r yog qhov sib piv.

Ntxiv mus, dab tsi txhais tau hais tias geometric series?

A Geometric series yog a series uas qhov piv ntawm txhua ob nqe lus sib law liag yog qhov ua haujlwm tas li ntawm qhov ntsuas qhov ntsuas summation.

Yuav ua li cas koj paub yog hais tias nws yog ib tug geometric series?

  1. Ib ntu yog ib pawg ntawm cov lej, hu ua cov ntsiab lus, npaj rau qee qhov tshwj xeeb.
  2. Ib qho lej lej yog qhov sib lawv liag nrog qhov sib txawv ntawm ob nqe lus sib law liag. Qhov txawv yog hu ua qhov sib txawv.
  3. Geometric sequence yog ib ntus nrog qhov sib piv ntawm ob lub ntsiab lus sib law liag.

Pom zoo: