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.
Units because without units a number is meaningless and serves no purpose
Answer:
Step-by-step explanation:
Given the information of the conical hat
- diameter of 16 inches => Radius = 8 inches
- height of 9 inches
=> the slant height of the hat is (use Pythagorean Theorem)
=
<=>
=
<=> s =
The area (without the base area) of tissue paper will she need to make one hat is:
SA = πrs in2
<=> SA = π*8*
in2
<=> SA =8
π
=> the total tissue paper will she need for 21 hats is:
SA*21
= 8
π*21
= 6352,18 in 2