Find sum of odd numbers between 10and 50
Answers
Answered by
3
Answer:
600.
Step-by-step explanation:
From the properties of AP :
Sum of first n terms = ( n / 2 ){ a + l }
nth term = a + ( n - 1 )d
Here,
first term = first odd number after 10 = 11
last term = last odd number before 50 = 49
Conse. terms increase by 2 = common difference = 2
⇒ 49 = 11 + ( n - 1 )2
⇒ 49 - 11 = ( n - 1 )2
⇒ 38 = ( n - 1 )2
⇒ 38 / 2 = n - 1
⇒ 19 = n - 1
⇒ 19 + 1 = n
⇒ 20 = n
Hence,
Sum of odd no. = ( 20 / 2 )( 11 + 49 )
⇒ 10( 60 )
⇒ 600
Answered by
1
Answer:
600
Step-by-step explanation:
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