Question

Find the sum of all odd numbers from 1 to 150?
(2 Points)
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Answer 1

Answer:

1,3,5,7,11,13,17,19,23,29,31,37,41,43,47

Step-by-step explanation:

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Answer 2

Answer:

5627

Step-by-step explanation:

1+3+5+7+9+............................+149

Here,

a = 1 (1st quantity)

d = (3-1) = 2 (General difference)

aₙ = 149 (Last quantity)

Now, we need to find n (number of quantities)

a + (n-1) × d = aₙ

=> 1 + (n-1) × 2 = 149

=> (n-1) × 2 = 149 - 1

=> (n-1) × 2 = 148

=> n - 1 = 148/2

=> n - 1 = 74

=> n = 74 + 1

=> n = 75

Now we need to find Sₙ or, S₇₅ (Sum upto 75)

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

=> S₇₅ = 75 × 75

=> S₇₅ = 5627

Therefore, Sum of all odd numbers from 1 to 150 is 5627. (Ans.)

Hope it helps. Thank you!