Math, asked by Superman6694, 9 months ago

What is the sum of first 37 odd natural numbers

Answers

Answered by subhranildey15
0

Answer:

matlab kaya hoga samaj me nehi a raha

Answered by Anonymous
1

Answer:

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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