श्रृंखला  का योग किसके बराबर है?

  1. 1/2
  2. 3/2
  3. 2
  4. 2/3

Answer (Detailed Solution Below)

Option 4 : 2/3
Free
Agniveer Navy SSR Full Test - 01
100 Qs. 100 Marks 60 Mins

Detailed Solution

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संकल्पना:

ज्यामितीय श्रेणी का अनंत योग:

सार्व अनुपात r और पहले पद a वाले एक ज्यामितीय श्रेणी के लिए अनंत पद को निम्न द्वारा ज्ञात किया गया है:

, जहाँ .

 

गणना:

माना कि दी गयी श्रृंखला सार्व अनुपात और पहले पद  वाले एक ज्यामितीय श्रेणी है।

इसलिए, अनंत योग निम्न है:

अतः दिया गया योग 2/3 के बराबर है।  

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