Answer:
5778
Step-by-step explanation:
1+2+3+4+5+....+105+106+107
The sequence of numbers (1, 2, 3, … , 107) is arithmetic and when we are looking for the sum of a sequence, we call it a series. Thanks to Gauss, there is a special formula we can use to find the sum of a series:
S=n(n+1)/2=11556÷2=5778
S is the sum of the series and n is the number of terms in the series, in this case, 107
There are other ways to solve:
This is an arithmetic series, for which the formula is:
S = n[2a+(n-1)d]/2
where a is the first term, d is the difference between terms, and n is the number of terms.
For the sum of the first 107 whole numbers:
a = 1, d = 1, and n = 107
Therefore, sub into the formula:
S = 107[2(1)+(107-1)(1)]/2 =
107(2+106)/2=107*108/2=5778
so she blow out 5778 candless during her lifetime
</h3>