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Sindrei [870]
2 years ago
7

What is the 87th term of the arithmetic sequence?

Mathematics
1 answer:
Norma-Jean [14]2 years ago
4 0

Step-by-step explanation:

1) The first term is -1352, and the common difference is 18.  So the 87th term is:

a = -1352 + 18 (87 − 1)

a = 196

2) 1/64 + 1/16 + 1/4 + 1 + 4

This is a geometric series, where the first term is 1/64 and the common ratio is 4.

∑⁵ᵢ₌₁ 1/64 (4)ⁱ⁻¹

Since 1/64 = 4⁻³:

∑⁵ᵢ₌₁ 4⁻³ (4)ⁱ⁻¹

∑⁵ᵢ₌₁ (4)ⁱ⁻⁴

3) The first term is -2100, and the common ratio is -0.1, so the 7th term is:

a = -2100 (-0.1)⁷⁻¹

a = -0.0021

4) The first term is 48, and the fifth term is 243/16, so the common ratio is:

243/16 = 48 r⁵⁻¹

81/256 = r⁴

r = 3/4

So the sequence is:

48, 36, 27, 81/4, 243/16

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Give the most specific name for each quadrilateral.
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7 0
2 years ago
You’re working in a pharmacy, and are making a table to help with dosage amounts for a certain drug. The recommended dosage is 4
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Answer: The children weighing 10 pounds, 15 pounds and 30 pounds require 12 teaspoons , 18 teaspoons, 36 teaspoons respectively.

Step-by-step explanation:

Given, The recommended dosage is 40 milligrams per 2.2 pounds of body weight, divided into three daily doses and taken every 8 hours.

i.e. for 1 pound of body weight required dosage per day= \dfrac{40}{2.2}=18.18\ ml

Each dose consist = \dfrac{18.18}{3}=6.06\ ml drug.

so, 1 pound of body weight required 6.06 ml for each dose.

Then, 10 pounds of body weight require 10 x 6.06 ml drug= 60.6 ml

If 1 teaspoon = 5 ml,  then 10 pounds of body weight require (60.6 ml ÷5) = 12.12 ≈12 teaspoons.

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Then 15 pounds of body weight require (90.9 ml ÷5) = 18.18≈18 teaspoons.

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7 0
2 years ago
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