• Recursive formula

A formula that defines each term of a sequence using preceding term(s). Recursive formulas must always state the initial term, or terms of the sequence.

Arithmetic: f(n) = f(n-1) + d, f(1) = #

Geometric: f(n) = f(n-1)( r ), f(1) = #

Inzira isubiramo

Inzira isobanura buri gihembwe cyurukurikirane ukoresheje ijambo (s) ibanziriza. Inzira zisubiramo zigomba buri gihe kuvuga ijambo ryambere, cyangwa amagambo akurikirana.

Imibare: f (n) = f (n-1) + d, f(1) = #

Geometrike: f (n) = f (n-1) (r), f(1) = #

Qaaciddada soo noqnoqota

Qaaciddo qeexaysa erey kasta oo isku xigxiga iyadoo la adeegsanayo erayga (yada) hore. Qaacidooyinka soo noqnoqda waa inay had iyo jeer sheegaan ereyga bilowga ah, ama shuruudaha isku xigxiga.

Xisaab: f (n) = f (n-1) + d, f(1) = #

Joometri: f (n) = f (n-1) (r), f(1) = #

Fórmula recursiva

Una fórmula que define cada término de una secuencia utilizando los términos precedentes. Las fórmulas recursivas siempre deben indicar el término inicial o los términos de la secuencia.

Aritmética: f (n) = f (n-1) + d, f(1) = #

Geométrico: f (n) = f (n-1) (r), f(1) = #

Fomula ya kurudia

Fomula inayofafanua kila kipindi cha mlolongo ukitumia vipindi vilivyotangulia. Njia za kurudia lazima kila wakati zisema neno la kwanza, au masharti ya mlolongo.

Hesabu: f (n) = f (n-1) + d, f(1) = #

Jiometri: f (n) = f (n-1) (r), f(1) = #

• Explicit formula

Designates the nth term of the sequence, as an expression of n (where n = the term's location). It defines the sequence as a formula or equation in terms of n.

Arithmetic: f(n) = f(1) + d(n-1)

Geometric: f(n) = f(1)(r^(n-1))

f(n) = f(1)(r)^(n-1)

*Note: use n if your first term starts at 0, otherwise use (n-1) if your first term stars at 1.

f(1) is your initial term (or first term)

Fomula wazi

Inachagua muda wa nth wa mlolongo, kama usemi wa n (ambapo n = eneo la neno). Inafafanua mlolongo kama fomula au mlingano kulingana na n.

Hesabu: f (n) = f (1) + d (n-1)

Jiometri: f (n) = f (1) (r ^ (n-1))

f(n) = f(1)(r)^(n-1)

* Kumbuka: tumia n ikiwa muhula wako wa kwanza utaanza saa 0, vinginevyo tumia (n-1) ikiwa nyota zako za muhula wa kwanza saa 1.

f (1) ni kipindi chako cha mwanzo (au muhula wa kwanza)

Fórmula explícita

Designa el enésimo término de la secuencia, como una expresión de n (donde n = la ubicación del término). Define la secuencia como una fórmula o ecuación en términos de n.

Aritmética: f (n) = f (1) + d (n-1)

Geométrico: f (n) = f (1) (r ^ (n-1))

f(n) = f(1)(r)^(n-1)

* Nota: use n si su primer término comienza en 0, de lo contrario use (n-1) si su primer término comienza en 1.

f (1) es su término inicial (o primer término)

Qaaciddada cad

Wuxuu tilmaamaa ereyga nth ee isku xigxiga, oo ah muujinta n (halka n = goobta ereyga). Waxay u qeexaysaa isku xigxiga sida qaacido ama isla'eg marka loo eego n.

Xisaab: f (n) = f (1) + d (n-1)

Joometri: f (n) = f (1) (r^(n-1))

f(n) = f(1)(r)^(n-1)

*Xusuusin: adeegso n haddii eraygaaga ugu horreeya uu ka bilaabmayo 0, haddii kale adeegso (n-1) haddii ereyga teeramkaaga koowaad uu noqdo 1.

f (1) waa teeramkaaga bilowga ah (ama teeramka koowaad)

Inzira isobanutse

Kugena ijambo rya cyenda ryurukurikirane, nkigaragaza n (aho n = ijambo riherereye). Irasobanura urukurikirane nka formula cyangwa ikigereranyo ukurikije n.

Imibare: f (n) = f (1) + d (n-1)

Geometrike: f (n) = f (1) (r ^ (n-1))

f(n) = f(1)(r)^(n-1)

* Icyitonderwa: koresha n niba manda yawe yambere itangiye kuri 0, ubundi ukoreshe (n-1) niba ijambo ryambere ryinyenyeri kuri 1.

f (1) nijambo ryambere (cyangwa manda yambere)

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https://www.desmos.com/scientific

Charlie has worked hard all summer to earn money. She has found an investment that will pay her 3% each year. At the end of the first year Charlie will have $5,000 in the investment. Use the information about Charlie’s investment for problems 1–2.

Charlie ha trabajado duro todo el verano para ganar dinero. Ha encontrado una inversión que le pagará el 3% cada año. Al final del primer año, Charlie tendrá $5,000 en la inversión. Usa la información sobre la inversión de Charlie para los problemas 1 y 2.

Charlie yakoze cyane mu mpeshyi kugirango abone amafaranga. Yabonye igishoro kizamwishyura 3% buri mwaka. Umwaka urangiye Charlie azaba afite $ 5,000 mugushora. Koresha amakuru yerekeye ishoramari rya Charlie kubibazo 1-2.

Charlie amefanya kazi kwa bidii majira yote ya joto ili kupata pesa. Amepata uwekezaji ambao utamlipa 3% kila mwaka. Mwishoni mwa mwaka wa kwanza Charlie atakuwa na $ 5,000 katika uwekezaji. Tumia taarifa kuhusu uwekezaji wa Charlie kwa matatizo 1–2.

Stephanie is collecting data on the reaction of bacteria to different antibodies. She did not measure the area of the bacteria in the dish when she began the experiment but measured 20 cm² of bacteria after 1 hour. She continued to measure the bacteria each hour and entered the data in the table. Use Stephanie’s table of data for problems 3–5.

Stephanie arimo gukusanya amakuru kubyerekeranye na bagiteri kuri antibodi zitandukanye. Ntiyigeze apima ubuso bwa bagiteri mu isahani igihe yatangiraga ubushakashatsi ariko apima 20 cm² za bagiteri nyuma yisaha 1. Yakomeje gupima bagiteri buri saha kandi yinjiza amakuru mumeza. Koresha imbonerahamwe yamakuru ya Stephanie kubibazo 3-5.

Stephanie anakusanya data juu ya mmenyuko wa bakteria kwa kingamwili tofauti. Hakupima eneo la bakteria kwenye sahani alipoanza majaribio lakini alipima 20 cm² ya bakteria baada ya saa 1. Aliendelea kupima bakteria kila saa na kuingiza data kwenye meza. Tumia jedwali la data la Stephanie kwa matatizo 3–5.

Success Criteria:

I can accurately identify the type of equation needed:

Linear

Exponential

I can accurately apply the proper form of the equation based on given data:

recusive

explicit

slope-intercept

point-slope