The
sum
of first
natural
term 20 odd
number
Answers
Answered by
0
Answer:
400
Step-by-step explanation:
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Answered by
0
Step-by-step explanation:
Given : 20 odd natural numbers.
To find : The sum of first 20 odd natural numbers by A.P
Solution :
The first 20 odd natural numbers are given by :
1,3,5,7,9......,37,39.
These form an A.P with , d=2 , n=20
Formula of sum of an A.P series s_n=\frac{n}{2}[2a_1+(n-1)d]s
n
=
2
n
[2a
1
+(n−1)d]
Put all the values in the formula,
s_n=\frac{n}{2}[2a_1+(n-1)d]s
n
=
2
n
[2a
1
+(n−1)d]
s_{20}=\frac{20}{2}[2(1)+(20-1)2]s
20
=
2
20
[2(1)+(20−1)2]
s_{20}=10[2+(19)2]s
20
=10[2+(19)2]
s_{20}=10[2+38]s
20
=10[2+38]
s_{20}=10[40]s
20
=10[40]
s_{20}=400s
20
=400
Therefore,The sum of first 20 odd natural numbers is 400.
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