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UGC-NET-Paper1

Maths

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In an arithmetic series having 50 terms, the first and last terms are 3 and 199, respectively. What is the sum of the series ?

(1) 4950
(2) 5050
(3) 5150
(4) 4850

50 पदों वाली एक अंकगणितीय श्रृंखला में, पहला और अंतिम पद क्रमशः 3 और 199 हैं। श्रृंखला का योग क्या है?

(1) 4950
(2) 5050
(3) 5150
(4) 4850
This Question came in
UGC-NET-English-06-December-2023-Shift-1-Q6
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Detailed Explanation & Answer
Given,
n = 50
First Term = 3
50th Term = 199

Formula for sum
Sum till Nth Term = N (First Term + Nth Term) / 2
Sum = 50 (3 + 199) / 2 = 5050
दिया गया,
n = 50
प्रथम पद = 3
50वाँ कार्यकाल = 199

योग के लिए सूत्र
nवें पद तक का योग = n (पहला पद + nवाँ पद) / 2
योग = 50 (3 + 199) / 2 = 5050
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