The number is -45 (negative 45)
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:
12x - 2
Step-by-step explanation:
Step 1: Write expression
4(3x + 2) - 6
Step 2: Distribute 4
12x + 8 - 6
Step 3: Combine like terms
12x - 2
13x - y = 3 .....(1)
x - 6y = -33 ......(2)
eqn (2) × 13
13x - 78y = -429 .....(3)
(3) - (1)
13x - 78y = -429
13x - y = 3
(-). (+). (-)
_________________
- 77y = 431
_________________
-77y = 431
y = 431 ÷ -77
y = -5.5
values that are <u>excluded from the domain</u> of a rational expression are values that make the denominator 0, since if that's so, the rational will be undefined. That happens when the denominator is zero out, let's do so
so, if ever m = 0, the denominator will become 0 and the rational becomes undefined, and whenever n = -3, the same will happen to the rational, thus those values are excluded.
