Arithmetic And Geometric Series
Gbogbo ọrọ náà
Sequences appear everywhere: in savings accounts earning compound interest, in the spacing of fence posts, in the decay of radioactive atoms. Recognising whether a sequence is arithmetic or geometric unlocks powerful formulas that let you jump straight to the 100th term or add a thousand terms in a single calculation, without writing them all out.
This topic equips you with the general-term and summation formulas for both types of series. You will learn to handle finite sums, discover when an infinite geometric series converges, and master the techniques examiners reward in the 4PM1 papers. Every formula is derived so you understand where it comes from, not just how to use it.
Ebumnobi
- Know the general term of an arithmetic series
- Use the sum to n terms of an arithmetic series
- Know the general term of a geometric series
- Use the sum to n terms of a finite geometric series
- Use the sum to infinity of a convergent geometric series, including the use of |r| < 1
Akọmọ Ojú-ẹkọ
Ọ dị na ngwa Green Bridge
Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.
Ayẹwo Ẹkọ
Ekele diri gi maka imecha ihe karịrị na Arithmetic And Geometric Series. 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.
- The 10th term of the arithmetic sequence 3, 7, 11, 15, ... is: A) 39 B) 43 C) 35 D) 37 Answer: A
- A geometric sequence has first term 5 and common ratio -2. What is the 4th term? A) -40 B) 40 C) -80 D) 16 Answer: A
- Which condition must be satisfied for a geometric series to have a sum to infinity? A) r > 1 B) r < 1 C) |r| < 1 D) |r| > 1 Answer: C
- The sum of the first 20 terms of the arithmetic series 2 + 5 + 8 + 11 + ... is: A) 590 B) 610 C) 570 D) 620 Answer: B
- A geometric series has first term 10 and sum to infinity 40. The common ratio is: A) 1/4 B) 3/4 C) 1/2 D) 2/5 Answer: B
Ọ dị na ngwa Green Bridge
Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.
Ọ dị na ngwa Green Bridge
Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.
Àwọn Ìwé Tó Dáa Láti Kà
Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Arithmetic And Geometric Series? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
Dawunlodi Ẹpp naa lori Google Playstore.
Ihe nile ichoro iji nwee ihe ịga nke ọma na JAMB, WAEC & NECO.
