Snehasheha Snehasheha

25-05-2020
Mathematics

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find the sum of all odd integers between 70 and 120

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TheLazyNobita TheLazyNobita

25-05-2020

Answer:

It forms an AP

AP : 71 , 73 , 75 , .................. 119

a = 71

d = 2

[tex]a_n[/tex]= a + (n-1)d

119 = 71 + (n-1)2

n-1 = (119 - 71)/2

n = 24

[tex]S_n[/tex] = n/2 × (a + [tex]a_n[/tex])

= 24/2 × (71 + 119)

= 12 × 190 = 2280

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