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2 years ago

How do I solve this arithmetic sequence?

Mathematics

1 answer:

Sveta_85 [38]2 years ago

5 0

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist

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Archy [21]

Answer:

$\boxed{x^2=-8y}$

Step-by-step explanation:

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2 years ago

Please help me with my algebra homework thank you

kumpel [21]

Answer:

a.) 5x

b.) 6xy

c.) 6xy

Step-by-step explanation:

5 * x = 5x

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7 0

2 years ago

Read 2 more answers

Mike discovered that the pool in his backyard is leaking slowly. The pool holds 17,897 gallons of water, and is leaking at a rat

pishuonlain [190]

Answer:

Gallons of water remaining = 16,962 gallons

Step-by-step explanation:

Total capacity of the pool = 17,897 gallons

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how many gallons of water will remain in the pool after 187 days?

Gallons of water remaining = Total capacity of the pool - (Rate of leakage per day × Number of days

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8 0

2 years ago

Explain how the Quotient of Powers Property was used to simplify this expression.

Strike441 [17]

Answer:

$\frac{5^{4}}{25} = 25$

Step-by-step explanation:

I'm not sure if you had a typographical error with this statement, "5 to the fourth power, over 25 = 52."

According to the Quotient Rule of Exponents:

$\frac{a^{m}}{a^{n}} = a^{(m-n)}$

Method 1:

In order for you apply the Quotient Rule, the base must be the same. Since 5 is a factor of 25, then you could rewrite 25 as 5². Doing so will give you the following exponential expression:

$\frac{5^{4}}{5^{2}} = 5^{(4 - 2)} = 5^{2} = 25$

Method 2:

Even if you solve the given problem manually, you'd still get the same answer:

$\frac{5^{4}}{25} = \frac{5*5*5*5}{25} = \frac{625}{25} = 25$

Both methods produced the same result, proving that the correct answer is 25.

Please mark my answer as the Brainliest, if you find this helpful :)

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2 years ago

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Answer:

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Answer: -6 gal/min

3 0

3 years ago