Sequences
Muhtasari
Here are five numbers: 11, 15, 21, 29, 39. What is the hundredth? You could keep adding, and after ninety five more additions you would have it, provided you made no slips. Or you could find the rule that turns the position of a term into the term itself, put 100 into it, and be finished in one line. That gap, between grinding forward and jumping straight there, is what this topic is about.
You will generate terms of a sequence from either a term-to-term rule or a position-to-term rule, recognise and use sequences of triangular, square and cube numbers along with simple arithmetic progressions, and deduce expressions to calculate the nth term of linear sequences. On the Extension Tier the same two statements are extended to quadratic sequences, where the terms rise by a changing amount and the rule contains an \( n^2 \) term.
Malengo
- [Core] generate terms of a sequence from either a term-to-term or a position-to-term rule
- [Core] recognise and use sequences of triangular, square and cube numbers and simple arithmetic progressions
- [Extension] including quadratic sequences
- [Core] deduce expressions to calculate the nth term of linear sequences
- [Extension] including quadratic sequences
Ramani ya mawazo
Mada hii imechorwa ili uone jinsi mawazo yanavyounganika.
Fungua ramani ya mawazo kwenye programu
Maelezo ya Somo
Dokezo Kamili la Somo Linapatikana kwenye Programu ya Green Bridge
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.
- What is the nth term of the sequence 7, 11, 15, 19, 23? A. n + 4 B. 4n C. 4n + 3 D. 4n + 7 Answer: C
- Which of these is the sequence of triangular numbers? A. 1, 4, 9, 16, 25 B. 1, 3, 6, 10, 15 C. 1, 8, 27, 64, 125 D. 2, 4, 8, 16, 32 Answer: B
- A sequence has constant second differences of 6. What is the coefficient of n^2 in its nth term? A. 2 B. 3 C. 6 D. 12 Answer: B
- A sequence has first term 5 and the term-to-term rule multiply by 2 and subtract 3. What is the third term? A. 7 B. 11 C. 14 D. 19 Answer: B
- Is 100 a term of the sequence with nth term 5n - 2? A. Yes, it is the 20th term B. Yes, it is the 21st term C. No, because 5n = 102 gives n = 20.4 D. No, because all terms are even Answer: C
Fanyia kazi maswali haya kwenye programu
Fanyia kazi maswali haya kwenye programu
Vitabu Vinavyopendekezwa
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.
Pakua Programu Kwenye Google Playstore
Kila kitu unachohitaji ili kufaulu katika JAMB, WAEC & NECO.
