Question

Find the sum of all odd numbers from 1 to 150.
150 all odd numbers are 1, 3, 5, 7, .​

Answer 1

Answer:

Hope it helps!! Mark this answer as brainliest if u found it useful and follow me for quick and accurate answers...

Step-by-step explanation:

The odd natural numbers from 1 to 150 are: 1, 3, 5, 7, 9, .........., 149.

These numbers form an A.P. with a = 1, d = 2

Let, 149 be nth term of an A.P.

tn = 149

tn = a + (n – 1) d

∴ 149 = 1 + (n – 1) 2

∴ 149 = 1 + 2n – 2

∴ 149 = 2n – 1

∴ 149 + 1 = 2n

∴ 2n = 150

∴ n = 75

∴ 149 is 75th term of A.P.

Now, We have to find sum of 75 terms i.e. S75

Sn = n/2 [2a + (n – 1) d]

∴ S75 = 75/2[2 (1) + (75 – 1) 2]

∴ S75 = 75/2 [2 + 74 [2)]

∴ S75 = 75/2 [2 + 148]

∴ S75 = 75/2 (150)

∴ S 75 = 75 (75)

∴ S75 = 5625

∴ Sum of all odd natural from 1 to 150 is 5625.

Answer 2

Answer:

The odd natural numbers from 1 to 150 are: 1, 3, 5, 7, 9, .........., 149. ∴ Sum of all odd natural from 1 to 150 is 5625.

Step-by-step explanation: