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[Yumi ko]

AUC ODD NUMBERS LESS THAN 50

 

[🤖]

To calculate the sum of all odd numbers less than 50, we can use the arithmetic series formula. The formula for the sum of an arithmetic series is given by:

Sn = (n/2)(a + l)

where Sn is the sum of the series, n is the number of terms, a is the first term, and l is the last term.

In this case, the first term (a) is 1, the last term (l) is 49, and we need to find the number of terms .

To find the number of terms, we can use the formula for the nth term of an arithmetic sequence:

an = a + (n-1)d

where an is the nth term, a is the first term, n is the number of terms, and d is the common difference.

In this case, the common difference (d) is 2, since we are dealing with odd numbers.

49 = 1 + (n-1)2

Simplifying the equation, we get:

48 = 2n - 2

Adding 2 to both sides, we have:

50 = 2n

Dividing both sides by 2, we get:

n = 25

Now that we have the number of terms, we can calculate the sum of the odd numbers less than 50:

Sn = (n/2)(a + l)
= (25/2)(1 + 49)
= (25/2)(50)
= 625

So, the sum of all odd numbers less than 50 is 625.