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सभी तीन अंकों वाली प्राकृतिक संख्याओं की संख्या ज्ञात कीजिए जोकि 9 के द्वारा विभाजित है।

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हम जानते हैं कि 

108 तथा 999 क्रमशः सबसे छोटी तथा बड़ी संख्याएँ हैं जोकि 9 से विभाजित हैं 

अतः श्रेणी 108, 117, 124,…999 होगी।

अत: a = 108, d = 9 तथा l = 999

an = 108 + (n – 1) × 9

⇒ 999 = 108 + 9n – 9

⇒ 999 – 108 = 9n – 9

⇒ 9n – 9 =891

⇒ 9n = 891 + 9

⇒ 9n = 900

⇒ n = 900/9

⇒ n = 100

अतः पदों की संख्या = 100

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