Mathematics (US) - 0444 CIE

Sequences And Nth Term

Gbogbo ọrọ náà

A sequence is a list of numbers that follows a rule. Spot the rule and you can predict any term you like, even the hundredth, without writing out all the ones before it. The nth-term formula is the compact piece of algebra that captures that rule and unlocks the whole pattern.

In this lesson you will continue sequences, recognize their patterns, and find the nth term of linear sequences and simple quadratic sequences. The nth term is a powerful shortcut: one formula generates every term and answers any question about the sequence at once.

Ebumnobi

  1. Continue sequences, recognize patterns, and find and use the nth term of linear and simple quadratic sequences.

Akọmọ Ojú-ẹkọ

Patterns are everywhere, from seating in rows to growth over time, and a sequence is the mathematics of a pattern. Finding the nth term turns a list of numbers into a rule you can use to leap straight to any term, which is the foundation for series and many modelling problems later on.

Ọ dị na ngwa Green Bridge

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Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na Sequences And Nth Term. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

  1. What is the nth term of 5, 8, 11, 14, ...? A. 3n B. 3n + 2 C. 3n + 5 D. 5n + 3 Answer: B
  2. Using the nth term 3n + 2, what is the 50th term? A. 150 B. 152 C. 155 D. 102 Answer: B
  3. What is the nth term of 3, 6, 11, 18, ...? A. n^2 B. n^2 + 2 C. 2n + 1 D. 3n Answer: B
  4. A sequence has a constant second difference. The sequence is: A. Linear B. Quadratic C. Constant D. Random Answer: B
  5. What is the next term in 5, 8, 11, 14, ...? A. 15 B. 16 C. 17 D. 18 Answer: C

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese
Onye inyeaka mmụta AI
Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla
Ọ dị na Android, Windows, macOS, na Linux

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese
Onye inyeaka mmụta AI
Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla
Ọ dị na Android, Windows, macOS, na Linux

Meecha Ajụjụ Ule Ọmarịcha

Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Sequences And Nth Term? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.

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