Ardışık tek tam sayılar neler?

Ardışık tek tam sayılar neler?

ABONE OL
Kasım 21, 2022 23:59
Ardışık tek tam sayılar neler?
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BEĞENDİM

ABONE OL

Matematiğin neredeyse tüm konularında olduğu gibi ardışık tek tam sayıların toplamının bulunmasını hususunda da bir formül bulunmaktadır. Peki, ardışık tek tam sayıların toplamının formülü nedir? Ardışık tek tam sayılar nasıl yazılır? İşte tüm detaylar…

Ardışık Sayılar Nedir?

Ardışık tek tam sayılara geçmeden önce ardışık sayıların ne demek olduğunu anlamak daha yerinde olacaktır. Küçükten büyüğe ya da büyükten küçüğe sıralı ve art arda gelen terimleri düzenli ve sabit bir fark kadar artan ya da azalan sayılara ardışık sayılar denir. Bir ardışık sayı dizisinin art arda gelen terimleri arasındaki bu sabit farka ortak fark denir.

[image]https://im.haberturk.com/2022/11/21/ver1669017142/3540538_140x140.jpg[/image]TAM SAYILAR SAYI DOĞRUSUNDA NASIL GÖSTERİLİR?

Ardışık tam sayılar; ardışık çift tam sayılar ve ardışık tek tam sayılar olmak üzere ikiye ayrılmaktadır. Şimdi gelin bu yazının konusu olan ardışık tek tam sayılar nelerdir sorusuna birlikte cevap arayalım.

Ardışık Tek Tam Sayılar Nelerdir?

Ardışık tek sayılar; art arda sıralanan tek sayılardan oluşlar ve bu sayıların arasındaki ortak fark 2’dir. Ardışık tek tam sayılar n, n+2, n+4, n+6, n+8 şeklinde sembollerle ifade edilmektedir.

Peki, ardışık tek tam sayılar nasıl yazılır? Ardışık tek tam sayılar pozitif yönde 1,3,5,7… n+2 şeklinde ilerlerken; negatif yönde ise -1,-3,-5,-7… n-2 şeklinde ilerlerler.

Örnek:

1, 3, 5, 7, 9, 11, … n+2

97, 99, 101, 103, 105… n+2

-1, -3, -5, -7. -9, -11… n-2

-97, -99, -101, -103, -105… n-2

Ardışık Tek Tam Sayıların Toplamı Nasıl Bulunur?

Konuyla ilgili araştırmalar yapan öğrencilerin ardışık tek tam sayılar hakkında cevabını en çok merak ettiği soru belki de ardışık tek tam sayıların toplamıformülü nedir sorusudur.

Ardışık tek tam sayıların 1 ile başlaması halinde kullanılan formül ise şu şekildedir:

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[/image]

Örnek Soru: 1’den 99’a kadar olan ardışık tek tam sayıların toplamı nedir?

1+3+5+7+…+99= ?

Çözüm:

İlk olarak n değerini bulmak için formülümüzü yazıyoruz.

2n-1= 99

2n= 100

n= 50

İkinci aşamada bulduğumuz n’yi kendisiyle çarpıyoruz ve sonuca ulaşıyoruz.

n * n= ?

50 *50 = 2500

En az 10 karakter gerekli


HIZLI YORUM YAP

SON DAKİKA HABERLERİ

Veri politikasındaki amaçlarla sınırlı ve mevzuata uygun şekilde çerez konumlandırmaktayız. Detaylar için veri politikamızı inceleyebilirsiniz.