Mathematics (9-1) - 0980 CIE

Sequences

Gbogbo ọrọ náà

A sequence is a list of numbers that follows a rule, and spotting that rule is one of the most satisfying skills in mathematics. Once you can describe a sequence with a formula for its nth term, you can jump straight to the 100th term without writing out the first 99.

In this lesson you will continue sequences, recognise patterns including the term-to-term rule, and find and use the nth term of linear and (at Extended) simple quadratic and cubic sequences.

Ebumnobi

Continue a given number sequence or pattern.
Recognise patterns in sequences, including the term-to-term rule, and relationships between different sequences.
Find and use the nth term of the following sequences: (a) linear (b) simple quadratic (c) simple cubic.
Find and use the nth term of sequences. (Extended only)

Akọmọ Ojú-ẹkọ

Finding a general rule for a pattern is the heart of algebra. The nth term formula turns a list into a single expression you can use for any position.

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Ayẹwo Ẹkọ

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.

Find the nth term of 3, 7, 11, 15, ... A. 3n B. 4n - 1 C. 4n + 1 D. n + 4 Answer: B
What is the next term in 5, 8, 11, 14, ...? A. 16 B. 17 C. 18 D. 21 Answer: B
For the nth term 4n - 1, what is the 20th term? A. 79 B. 80 C. 81 D. 19 Answer: A
The sequence 1, 4, 9, 16, ... has nth term: A. 2n B. n + 3 C. n^2 D. 4n Answer: C
What is the term-to-term rule for 2, 6, 10, 14, ...? A. add 2 B. add 4 C. multiply by 3 D. add 6 Answer: B