Question

Find the sum of odd integer from 1 to 2001

please help...​

Answer 1

Answer:

The old integer 1 to 2001 are 1,3,5......1999,2001.

The Sequence from an A.P

Here, First team, a = 1

Common difference, d = 2

Here, a + (n-1) d = 2001

➟ 1 + (n-1) (2) = 2001

➟ 2n - 2 = 2000

➟ n = 1001

$sn \: = \frac{n}{2} [ 2 \times 1 + (1001 + 1) \times 2]$

$❥ \: sn = \frac{1001}{2} [2 \times 1 + (1000 + 1) \times 2]$

$➺\frac{1001}{2} [2 + 1000 \times 2]$

$➺ \frac{1001}{2} \times 2002$

$➺1001 \times 1001$

$➺1002001$

Thus, the sum off odd numbers from 1 to 2001 is 1002001.

$\purple{Hope}$$\pink{ it's}$$\green{Help}$$\red{You}$

Answer 2

The old integer 1 to 2001 are 1,3,5......1999,2001.

The Sequence from an A.P

Here, First team, a = 1

Common difference, d = 2

Here, a + (n-1) d = 2001

➟ 1 + (n-1) (2) = 2001

➟ 2n - 2 = 2000

➟ n = 1001

hope it helps u...!!