Answer:
5050
Step-by-step explanation:
Gauss has derived a formula to solve addition of arithmatic series to find the sum of the numbers from 1 to 100 as follows:
1 + 2 + 3 + 4 + … + 98 + 99 + 100
First he has splitted the numbers into two groups (1 to 50 and 51 to 100), then add these together vertically to get a sum of 101.
1 + 2 + 3 + 4 + 5 + … + 48 + 49 + 50
100 + 99 + 98 + 97 + 96 + … + 53 + 52 + 51
1 + 100 = 101
2 + 99 = 101
3 + 98 = 101
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48 + 53 = 101
49 + 52 = 101
50 + 51 = 101
It was realized by him that final total will be fifty times of 101 means:
50(101) = 5050.
Based on this, Gauss has derived formula as:
The sequence of numbers (1, 2, 3, … , 100) is arithmetic and we are looking for the sum of this series of sequence. As per Gauss, the special formula derived by him can be used to find the sum of this series:
S is the sum of the series and n is the number of terms in the series, in present case, from 1 to 100, Hence
As per the Gauss formula, the sum of numbers from 1 to 100 will be 5050.
Answer : 5050
Answer:
$4500
Step-by-step explanation:
Given data
State income tax= $234
we are told that the tax paid is 5.2% of her income
Let her earnings be x
so
5.2% of x = $234
5.2/100*x=234
0.052x= 234
x= 234/0.052
x= $4500
Hence her earnings is $4500
Since they walk a little slower
Answer:
The Human Side of Human Beings
The Fundamentals of Co-Counseling Manual
How to Begin "Re-evaluation Counseling"
The Human Situation
Working Together to End Racism
Guidelines for the Re-evaluation Counseling Communities
Step-by-step explanation: