Question

Find the sum of 100 odd numbers starting with 1.​

Answer 1

Answer:

Sn = 2500

Step-by-step explanation:

a1 = 1

an = 99

d = 2

to find total odd nos in 1 to 100

an = a1 + (n-1)d

99 = 1 + (n-1)x2

98/2 = n-1

n = 49+1 = 50

sum of odd nos. Sn

Sn = n/2[2a1 + (n-1)xd]

Sn = 25[2 + (49).2]

Sn = 25(2+98)

Sn = 25(100)

Sn = 2500