The avarage of first'10odd numbers also 10 do you agree with the statement justify answer
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Answer:
First 10 odd numbers-
1,3,5,7,9,11,13,15,17,19
The above series forms an A.P. with first term and common difference of 1 and 2.
As we know that sum of n terms in an A.P. is given as-
S
n
=
2
n
(a+l)
Whereas, a and l are first and last term.
Sum of first 10 odd numbers-
∴S
10
=
2
10
(1+19)
⇒S
10
=5×20=100
Now, average of first 10 odd numbers-
Av. =
n
S
n
=
10
100
=10
Thus the average of first 10 odd numbers is 10.
Hence I agree with as the average of first 10 odd numbers is 10.
Explanation:
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