Sequences
Akopọ
A sequence is an ordered list of numbers that follows a rule. You meet sequences everywhere in mathematics: the multiples of 7, the square numbers, the Fibonacci numbers. On the Edexcel IGCSE, you need to continue a sequence from a given rule, spot the pattern in a sequence of integers, and write an expression for the nth term of an arithmetic (linear) sequence.
This lesson starts with term-to-term rules (where each term depends on the one before) and position-to-term rules (where each term depends on its position number). You will then learn how to find the nth-term formula for arithmetic sequences by inspection and, at Higher tier, use the formal notation \(a + (n - 1)d\) and the sum formula for arithmetic series.
Awọn Afojusun
- Generate terms of a sequence using term-to-term and position-to-term definitions of the sequence
- Find subsequent terms of an integer sequence and the rule for generating it
- Use linear expressions to describe the nth term of arithmetic sequences
- [Higher] Understand and use common difference (d) and first term (a) in an arithmetic sequence
- [Higher] Know and use nth term = a + (n - 1)d
- [Higher] Find the sum of the first n terms of an arithmetic series (Sn)
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Ìdánwò Ẹ̀kọ́
Oriire fun ipari ẹkọ lori Sequences. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.
Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.
- The nth term of a sequence is 3n + 5. What is the 10th term? A) 30 B) 35 C) 38 D) 40 Answer: B
- Which of these sequences is arithmetic? A) 1, 4, 9, 16, ... B) 2, 6, 18, 54, ... C) 5, 9, 13, 17, ... D) 1, 1, 2, 3, 5, ... Answer: C
- The first term of a sequence is 8 and the common difference is -3. What is the 4th term? A) 2 B) -1 C) 5 D) 20 Answer: B
- The nth term of a sequence is 5n - 2. Which term has the value 48? A) 8th B) 9th C) 10th D) 11th Answer: C
- A sequence starts 6, 10, 14, 18, ... What is the common difference? A) 2 B) 3 C) 4 D) 6 Answer: C
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Awọn Iwe Itọsọna Ti a Gba Nimọran
Ẹ̀kọ́ síwájú láti àwọn orísun ṣíṣí
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Abala ìwé ẹ̀kọ́
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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Abala ìwé ẹ̀kọ́
Sequences
Write the first few terms of a sequence
"Intermediate Algebra: 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/12-1-sequences. Access for free at https://openstax.org/books/intermediate-algebra/pages/1-introduction
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Ṣe Adaṣe Awọn Ibeere Idanwo Adaṣe
Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Sequences? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.
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