Question

Find the difference between the sum of even integers and the sum of odd integers between -15 and 3

Answer 1

Answer:

3

Step-by-step explanation:

for even nos.

a = -14

d = 2

an = 2

an = a +(n-1)d

2 = (-14) + (n-1)2

16 = 2n - 2

n = 9

Sn = n/2(a+an)

= 9/2(-14+2)

Sn = (-45)

for odd nos.

a = -13

d = 2

an = 1

an = a + (n-1)d

1 = -13+(n-1)2

16 = 2n

n = 8

Sn = 8/2[-13+1]

= 4(-12)

Sn = -48

According to the condition ,

-45 -(-48)

= -45 +48

= 3