find the average of first 71 natural numbers ? ​

Answers 2

See AP (Arithmetic Progression)

a+(n-1)d=1+(71-1)1=71 [a=1,n=71,d=1]

Sum= =n[2a+(n-1)b]/2 =71[2+(71-1)1]/2=71[2+70]/2=(71×72)/2=5112/2=2556.

Average = sum/ no. of observations [here, no. of natural nos.]=2556/71=36.

Answer:

The answer is 36

Given problem:

find the average of first 71 natural numbers ? ​

Step-by-step explanation:

We know the first 71 natural number series is  1, 2, 3, 4... 71  

Here 1, 2, 3, 4.. 71 is in the form of a AP

where first term  [tex]a[/tex] = 1,  last term [tex]l[/tex] = 71  and number of terms = 71  

therefore, sum of terms = [tex]\frac{n(a+l)}{2}[/tex]  = [tex]\frac{71(1+71)}{2}[/tex] = [tex]\frac{71(72)}{2}[/tex] = 71(36) = 2556

Average of first 71 natural numbers

         = sum of 71 numbers / 71

         = 2556 / 71 = 36  

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