find the sum of the following series 51+52+53+...+92
Answers
Answered by
21
Hey ✌
Here is the answer
Answer :
n=42
Explanation :
AP is 51,52,53....92
a=51
d=1
an=92
n=?
an=a+(n-1)d
92=51+(n-1)1
n-1=92-51
n=41+1
n = 42
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Answered by
10
51+52+53+......+92
a.= 51, d = 52-51 = 1
an= 92
as we know that
an= a+(n-1)d
51+(n-1)1 = 92
n-1= 92-51 = 41
n= 41+1 = 42
no. of terms are42
sum of the series
Sn= n/2[a+an] = n/2[first term + last term]
S42 = 42/2[51+92] = 21[143]
S42 =3003
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