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3 years ago

An arithmetic sequence has a first term of 3 and a fifth term of 31 what is it’s second term

Mathematics

2 answers:

atroni [7]3 years ago

7 0

Answer:10

Step-by-step explanation:

Adds 7 each time

mrs_skeptik [129]3 years ago

6 0

31 - 3 = 28

Going from first term to fifth term is 4 increases.

28 ÷ 4 = 7

This means we have a common difference of 7.

Sequence is 3, 10, 17, 24, 31

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Inga [223]

Answer:

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3 years ago

Angie needs to buy 156 candles for a party instead each package has 8 candles how many packages should angie buy

Annette [7]

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Find the value of the discriminant for <img src="https://tex.z-dn.net/?f=7x%5E%7B2%7D%20%2B5x%2B1%3D0" id="TexFormula1" title="7

kondor19780726 [428]

Answer:

No real roots

Step-by-step explanation:

Given

7x² + 5x + 1 = 0 ← in standard form

with a = 7, b = 5, c = 1

To determine the nature of the roots use the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then roots are real and distinct

• If b² - 4ac = 0 then roots are real and equal

• If b² - 4ac < 0 then the roots are not real

Here

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3 years ago

4th grade math question Joey walk 333 ft how many yards did Joey walk? At 5 yds vs 15 ft

icang [17]

111 yards

Explanation

Step 1

to solve this we need to know the equivalence

$\begin{gathered} 3\text{ ft= 1 yd} \\ 3\text{ ft}\leftrightarrow1\text{ yd} \end{gathered}$

Now, we can apply a rule of three

let x represents the number of yards in 333 ft, so

$\begin{gathered} if \\ 3\text{ ft}\rightarrow\text{ 1 yd} \\ \text{then} \\ 33\text{ ft}\rightarrow x \end{gathered}$

as the ratio is the same, we have a proportion

$\begin{gathered} \frac{3\text{ ft}}{1\text{ yd}}=\frac{33\text{ ft}}{x\text{ yd}} \\ \frac{3}{1}=\frac{33}{x} \end{gathered}$

Step 2

now, solve for x

$\begin{gathered} \frac{3}{1}=\frac{333}{x} \\ \text{cross multiply} \\ 3\cdot x=333\cdot1 \\ 3x=333 \\ \text{divide both } \\ \frac{3x}{3}=\frac{333}{3} \\ x=111 \end{gathered}$

so, the answer is 111 yards

I hope this helps you

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1 year ago

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alexira [117]

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