Take the sequence in 1a
The 10th term is 31
The 20th is 61
If you wanted to find these by continuing the series, you'd have to add 3 to the last number in the series, then 3 more, then 3 more, until you reach the 20th term. By this point, you will have added 3 to the first term 19 times. That's where the formula comes from. So here,
a = 4, the first term
n = 20, the number of the term we need
d = 3, how much we're adding each time between one term and the next
Then, to get the 20th term,
4 + (20 - 1) • 3 = 4 + (19 • 3) = 4 + 57 = 61
Answers
The 10th and 20th terms of each sequences are
a. 31; 61
b. 48; 98
c. 47; 97
(in <em>c</em>, you're adding the same <em>d</em> as in the sequence above, but your first term is one unit less)
d. -25; -75
(same thing as before, but now, <em>d</em> is negative)
e. 11.5; 16.5
(with <em>d</em>=1/2 or 0.5)
f. 6+1/2; 8+1/2
Use these to check your answers after applying the formula, but know that I calculated on the fly and didn't check these.
the answer is that it is false
If you are rounding to the nearest tenth then yes
Answer:
The answer is D
x = 4
y = -2
z = 3
Step-by-step explanation:
Plug in the values of x and z into the first equation, and see that D is the only choice that is correct.
That's 5 integers...
Logic tells me that a number divided by 5 should be equal to -3. -15/5 is in fact equal to -3.
Let's find 5 integers (two positive and three negative) when added up together equal -15.
-14, -3, -3, 2, 3.
[(-14)+(-3)+(-3)+2+3]/5 = (-15)/5 = -3
Mean = -3
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Now let's put these numbers in order, from lowest to highest - then pick out the middle value...
-14, -3, [-3], 2, 3
The median turns out to be -3.
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Let's look at the numbers once again...
-14, -3, -3, 2, 3
It turns out that -3 appears the most, therefore -3 is the mode too.
