Question

sum of 71+72+73+.....100

Answer 1

Sum of 71 +72 +73 +.....100 = 2565

Given:

71 +72 +73 +.....100

To find:

sum of 71+72+73+.....100

Solution:

Formula used:

The formula for the sum of n terms in Airthematic Progression is given by

              S$_{n}$ = n/2 (first term + last term)

Where n = number of terms

Given set of terms = 71+72+73+.....100  

Here first term = 71

And last term = 100

Number of terms = 100 - 71 + 1 = 30

 

Sum of 71 +72 +73 +.....100 = 30/2 (71 + 100)

= 15 [ 171 ]  

= 2565

Therefore,

Sum of 71 +72 +73 +.....100 = 2565

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Answer 2

Answer: The answer to the above given question is 2565.

Step-by-step explanation:Given to calculate sum of 71 + 72 + ......... + 100

This can also be written as

( 1 + 2 + 3 + ....... + 100 ) - ( 1 + 2 + 3 + ...... + 70 )

As sum of the N natural numbers is n ( n + 1 ) ÷ 2

= $\frac{ 100 ( 101 )}{2}$ - $\frac{ 70 ( 71 )}{2}$

= 5050 - 2485

= 2565.

In mathematics , natural numbers are used for counting or ordering . Natural numbers are not fractional or decimal. In general N represents to set of natural numbers. It starts from 1 and ends at infinity. They are also called as counting numbers.

The below two links provided will have information about natural number and square of a natural number.

https://brainly.in/question/54164079

https://brainly.in/question/5207187

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