Answer:
Step-by-step explanation:
The total value of the sequence is mathematically given as
498501
<h3>The sum of the sequence is..?</h3>
Generally, the equation for Gauss's Problem is mathematically given as
The sum of an arithmetic series;
1+2+3+...+n= n(n+1)/2
Given an arithmetic sequence,
1+2+3+...+998,
Here,
n = 998
1+2+3+...+n=n(n+1)/2
1+2+3+...+998=98(998 + 1)/2
998 x 999 1+2+3+...+998 =2
1+2+3+...+998 = 498501
In conclusion, 498501 is the total value of the sequence.
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Answer:
D
Step-by-step explanation:
Because in 5 days he did 415 bottle in 12 it will be 996.
Answer:
The area of the triangle should be: [(1 + 5 + 4) × 11]/2= 55 (ft²)
The area of the rectangle should be: 5 × 2 = 10 (ft²)
The area of the shaded region is: 55 - 10 = 45 (ft²)
If
then we also have
Pairing up the terms, we can find that
consists of 
terms, so there are copies of 
in the sum 
. Then we find an immediate closed form for the sum:
