What is the sum of first 37 odd natural numbers
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matlab kaya hoga samaj me nehi a raha
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⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇
QUESTION :
What is the sum of first 37 odd natural numbers?
SOLUTION :
The series = 1,3,5,7,....73
→ a1 = 1 ; a2 = 3
Common difference (d) = a2 - a1 = 3 - 2 = 1
Now we have,
- first term (a) = 1
- Common difference (d) = 2
- Total number of terms (n) = 37
By using Guass formula..
⟹ Sn = n/2 [ 2a + (n - 1)d]
➡ S37 = 37/2 [ 2(1) + (37 - 1)(2)]
➡ S37 = 37/2 [ 2 + 36(2)]
➡ S37 = 37/2 [ 2 + 72]
➡ S37 = 37/2 [ 74 ]
➡ S37 = 37 × 74/2
➡ S37 = 2738/2
➡ S37 = 1369
Therefore, the sum of first 37 odd natural numbers is " 1369 ".
⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆
Step-by-step explanation:
℘ℓḙᾰṧḙ ՊᾰԻк Պḙ ᾰṧ ♭Իᾰ!ℵℓ!ḙṧт ✌✌✌
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