What is the slope of the line? У. O slope = = 1/2 글 Oslope = -3 Oslope = 3
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<u>Number of terms = 48</u>
<u>common difference = 1.5</u>
This question involves the concept of Arithmetic Progression.
- The formula for sum of an arithmetic progression series with first and last term given is;
=
(a + l)
where;
a = first term
l = last term
n = number of terms
- From the given sequence, we see that;
first term; a = 4
last term; l = 76
Sum of A.P; = 1920
- Plugging in relevant values into the sum of an AP formula, we have;
1920 = (4 + 76)
simplifying this gives;
1920 = 40n
n = 1920/40
n = 48
- Formula for nth term of an AP is;
=
+ (n - 1)d
where;
is first term
d is common difference
n is number of term
is the nth term in question
the 48th term is 76
Thus;
76 = 4 + (48 - 1)d
76 - 4 = 47d
72 = 47d
d = 72/47
d ≈ 1.5
Thus;
Number of terms = 48
common difference = 1.5
Read more at; brainly.com/question/16935540
The right side of the x-axis represents positive domain and the left side of the x-axis represents a negative domain.
So a radical function with an even index could have a domain of x≥0, so that's why they only appear on the right side.
Whereas a radical function with an odd index has a domain of all real numbers, so they appear on both sides.
The easiest scenario to see why this is true is to test square root and cube root.
You can't have a square root (even index) of a negative number, but you can have a cube root (odd index) of a negative number.
Example: = UNDEFINED, ರ_ರ
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