Answer: B, C, E
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The difference between consecutive terms (numbers that come after each other) in arithmetic sequences is the same. That means you add the same number every time to get the next number. To figure out which choices are arithmetic sequences, just see if the differences are the same.
Choice A) 1, -2, 3, -4, 5, ...
-2 - 1 = -3
3 - (-2) = 5
The difference is not constant, so it is not an arithmetic sequence.
Choice B) 12,345, 12,346, 12,347, 12,348, 12,349, ...
12,346 - 12,345 = 1
12,347 - 12,346 = 1
The difference is constant, so it is an arithmetic sequence.
Choice C) <span>154, 171, 188, 205, 222, ...
171 - 154 = 17
188 - 171 = 17
The difference is constant, so it is an arithmetic sequence.
Choice D) </span><span>1, 8, 16, 24, 32, ...
8 - 1 = 7
16 - 8 = 8
</span>The difference is not constant, so it is not an arithmetic sequence.
Choice E) <span>-3, -10, -17, -24, -31, ...
-10 - (-3) = -7
-17 - (-10) = -7
</span>The difference is constant, so it is an arithmetic sequence.
Answer:
2^24 = 16,777,216 bacterias.
Step-by-step explanation:
So we start with 1 bacteria
after 1 hours: 2*1 = 2
after 2 hours: 2*2 = 2^2 = 4
after 3 hours: 2*2^2 = 2^3
after n hours: 2^n
Since one day has 24 hours we have n = 24 and total number of bacteria will
be: 2^24 = 16,777,216 bacterias.
Answer:
Alternative D - 8 sin(35°)
Step-by-step explanation:
Sin(x) is defined as:
In this exercise,
BC is the opposite side to 35°
AC is the hypotenuse and measures 8 in
Then:
Step-by-step explanation:
in this problem, we are solving for the amount of apple that Paloma eats
1. she ate 2/8 of a complete apple -hence the will be a remainder, we will find
that remainder
2. she also ate 3/8 of the remainder for lunch
3. we then proceed to calculate all apple she ate in total
2 she ate 3/8 of the remaining 3/4 apple
3. in total she ate 1/4+ 9/32
Answer:
15cm
Step-by-step explanation:
because length is given as 8 cm and perimeter is length+width+length+width
so if you take 8cmX2 since its taken twice to get the perimeter and 15cmX2 you get 46cm which originally the question said was the peemiter
