Sequences
Gbogbo ọrọ náà
A savings account that grows by the same amount each month, the number of tiles needed as a patio grows ring by ring, a population that doubles at fixed intervals: patterns like these are sequences, and spotting the rule behind them lets you predict any term without listing every one in between.
This topic trains you to recognise sequences built from a common difference, to recognise the handful of integer sequences that appear again and again in mathematics, and to continue any given sequence confidently, including ones where the pattern is not obvious at first glance.
Ebumnobi
- Recognise sequences with a common difference or common integer sequences, and continue a given sequence
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Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Sequences. 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.
- What is the common difference of the sequence 12, 15, 18, 21? A) 2 B) 3 C) 4 D) 12 Answer: B
- Which sequence is the triangular numbers? A) 1, 2, 4, 8, 16 B) 1, 4, 9, 16, 25 C) 1, 3, 6, 10, 15 D) 2, 3, 5, 7, 11 Answer: C
- A sequence begins 2, 6, 12, 20 with second differences that are constant. What is the constant second difference? A) 1 B) 2 C) 4 D) 6 Answer: B
- The nth term of a sequence is 4n - 1. What is the 10th term? A) 35 B) 39 C) 40 D) 41 Answer: B
- In a Fibonacci-type sequence starting 2, 5, what is the fourth term? A) 7 B) 10 C) 12 D) 17 Answer: C
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Arithmetic Sequences
Determine if a sequence is arithmetic
"Intermediate Algebra: Arithmetic Sequences" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/intermediate-algebra/pages/12-2-arithmetic-sequences. Access for free at https://openstax.org/books/intermediate-algebra/pages/1-introduction
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Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Sequences? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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