Question

1+3+5+7+9+...............+997+999​

Answer 1

Ответ:

1+3+5+7+9+11+13+15+17+20+997+999+1001+1005+1010

Answer 2

Ответ:

1+3+5+7+9+10+997+999=2.031

Answer 3

To find the sum of an arithmetic series like this, you can use the following formula:

Sum = (n/2) * [2a + (n-1)d]

Where:

• Sum is the sum of the series.
• n is the number of terms.
• a is the first term.
• d is the common difference between consecutive terms.

In this series, the first term (a) is 1, the common difference (d) is 2 (since each term increases by 2), and we want to find the sum of all odd integers from 1 to 999, so n is the number of terms.

To find n, we can use the formula for the nth term of an arithmetic series:

nth term = a + (n-1)d

In this case, we want to find the nth term, which is 999:

999 = 1 + (n-1) * 2

Now, solve for n:

998 = (n-1) * 2

Divide both sides by 2:

499 = n - 1

Add 1 to both sides:

n = 500

Now that we know n is 500, we can plug these values into the sum formula:

Sum = (n/2) * [2a + (n-1)d] Sum = (500/2) * [2 * 1 + (500-1) * 2] Sum = 250 * [2 + 999 * 2] Sum = 250 * [2 + 1998] Sum = 250 * 2000 Sum = 500,000

So, the sum of the odd integers from 1 to 999 is 500,000.