The sum of -4 and 3 complain more because its negative
-126.....................................................
Answer:
<u>Same side angles are supplementary</u>
L+k=180
18x-18+72=180
18x=126
x=7
m∠18(7)-18
= 108°
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The equivalent value of the expression is -7
<h3>Modulus of a function</h3>
The modulus of an expression of value is equal to the positive of such function or value.
Given the expression
2(2.5 - |-6|)
Since the value of -6 is a modulus, the expression will become;
2(2.5 - |-6|) = 2(2.5) - 2(6)
2(2.5 - |-6|) = 5 - 12
2(2.5 - |-6|) = -7
Hence the equivalent value of the expression is -7
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Step-by-step explanation:
that is
sum(2^r) for r=1 to n, plus sum(1/2) for r=1 to n.
and that is
sum(2^r) + n/2 for r=1 to n.
2^r is a geometric sequence with 2 being the common ratio (every new term is created by multiplying the previous term by 2).
and since r is starting at 1, the first term a1 = 2.
the formula for the sum of a finite geometric sequence is
Sn = a1×(1 - r^n) / (1 - r)
with r being the common ratio .
so, in our case
Sn = 2×(1 - 2^n) / (1 - 2)
Sn = (2 - 2^(n+1)) / -1 = 2^(n+1) - 2
and so, in total we get
2^(n+1) - 2 + n/2 = 2^(n+1) + (n - 4)/2
