Sequences
Muhtasari
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.
Malengo
- 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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Maelezo ya Somo
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Pata programu ya Green Bridge CBT kwenye simu au kompyuta yako kwa maktaba kamili ya IGCSE: mitihani ya miaka iliyopita, miongozo ya usahihishaji, ramani za mawazo, kadi za marudio na masomo ya sauti.
Tathmini ya Somo
Hongera kwa kukamilisha somo la Sequences. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.
Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.
Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.
- 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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Fanyia kazi maswali haya kwenye programu
Vitabu Vinavyopendekezwa
Jifunze zaidi kutoka vyanzo huria
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Sehemu ya kitabu
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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Sehemu ya kitabu
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
Vimechapishwa na mashirika mengine chini ya leseni huria na vinatajwa kama wanavyoomba. Viungo hufungua tovuti zao.
Fanya Mazoezi ya Maswali ya Majaribio
Ungependa kufanya mazoezi ya maswali ya majaribio kuhusu Sequences? Pakua programu ya Green Bridge CBT ili kupata maswali ya majaribio na tathmini kamili za mazoezi kuhusu mada hii.
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Kila kitu unachohitaji ili kufaulu katika JAMB, WAEC & NECO.
