We're given the Arithmetic Progression <em>-24, -4, 16, 36 ...</em> .
We know that a term in an AP is generally represented as:
where,
- a = the first term in the sequence
- n = the number of the term/number of terms
- d = difference between two terms
We need to find .
From the given progression, we have:
- a = -24
- n = 23
- d = (-24 - (-4) = -20
Using these in the formula,
Therefore, the 23rd term in the AP is -464.
Hope it helps. :)
MP = P - M = (0, 5) - (5, 6) = (0-5, 5-6) = (-5, -1) |MP| = √((-5)^2 + (-1)^2) = √(25+1) = √26
1. when you see 4(x² - 1), then you have to multiply 4 with everything in the bracket. keep in mind that you always have to be cautious of the sign whether it is a positive or a negative.
positive ×/÷ positive = positive
negative ×/÷ negative = positive
positive ×/÷ negative = negative
negative ×/÷ positive = negative
^ you have to remember this.
2. only like terms (same alphabet) can plus or minus each other.
3. simplify by taking out the common factor and placing it outside the bracket.
Answer:
Calico Crayfish has the largest range ⇒ The range = 9
Step-by-step explanation:
∵ The rang is the difference between the largest value
and the smallest value
In the Calico Crayfish the largest value is 10 and the smallest value is 1
∴ The range = 10 - 1 = 9
In the Zebra Mussel the largest value is 10 and the smallest value is 2
∴ The range = 10 - 2 = 8
In the Blue-back Herring the largest value is 10 and the smallest value is 4
∴ The range = 10 - 4 = 6
In the Shield Darter the largest value is 9 and the smallest value is 2
∴ The range = 9 - 2 = 7
∴ The largest range is 9 in Calico Crayfish