Question

Find the sum of alleven numbers between 1 to 350

Answer 1

Answer:

30800 is the sum of all even no between 1 and 350.

Step-by-step explanation:

➡️ To find sum of all even no between 1 to 350.

➡️ First even no 'a' = 2

➡️ Common difference 'd' = 2.

➡️ Last term = 350

➡️ Total no of terms = n

➡️ Last term = a + (n - 1) d

350 = 2 + (n - 1) 2

350 = 2 + 2n - 2

350 = 2n

➡️ n = 175.

➡️ Sum of even terms = n/2(a + l)

Sum of even term = 175/2 (352)

Sum of even terms = 175 ☓ 176

➡️ Sum of even terms = 30800

Answer 2

sum of all the even nos. from 1 to 350 is
=2+4+6+8+10+12+14+16+18.........+350
using the ap formula
a=2
d=2
l=350
now,to find the no. of terms
350=2+(n-1)d
=2+(n-1)2
350=2n
n=350/2
=175
now to find the sum,
s=n/2[a+l]
=175/2[2+350]
=175/2×352
=175×176
=30800