the sum of first n odd numbers be 625 then write the value of n
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ayushukamath041:
n^2=625
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Value of n = 25 if the sum of first n odd numbers be 625
Step-by-step explanation:
the sum of first n odd numbers be 625
First n odd numbers
1 , 3 , 5 , ................................................2n-1
a = First Term = 1
n = n = number of terms
d = common difference = 2
last term = a + (n - 1)d = 1 + (n - 1)*2 = 2n - 1
Sum on N terms = (n/2)(first Term + Last term)
= (n/2)(1 + 2n - 1)
= (n/2)(2n)
= n²
n² = 625
=> n = 25
Value of n = 25
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