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1 year ago

Given the sequence 34, 42, 50,58, 66.. find the recursive formula & explicit formulas

Mathematics

1 answer:

Marizza181 [45]1 year ago

7 0

Sequence: 34, 42, 50, 58, 66

Since the difference between consecutive terms is 8, we deduce it is an arithmetic sequence, the recursive formula would be:

$a_n=a_{n-1}+8$

Given that the first term is 34 and the common difference is 8, the explicit formula would be:

$a_n=34+(n-1)\cdot8$

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STatiana [176]

7^2/7^-2 and (7^2)^2

7 0

3 years ago

Riley rakes 1/6 of a lawn in 2/3 hour. How many lawns can Riley rake per hour?

Butoxors [25]

Answer:

Riley rakes 1/4 of the lawns per hour.

Step-by-step explanation:

It is given that,

Riley rakes 1/6 of a lawn in 2/3 hour.

We need to find how many lawns can Riley rake per hour.

In 2/3 hour Riley rakes 1/6 of a lawn

In 1 hour Riley rakes $\dfrac{1}{6}\times \dfrac{3}{2}=0.25$ = 1/4 of a lawn.

Hence, Riley rakes 1/4 of the lawns per hour.

4 0

3 years ago

Erika worked 18 hours last week and 20 hours this week. If she earns $6 per hour, how much did she earn these two weeks?

Crank

Hi!

If she worked 18 hours last week and 20 hours this week, then she worked 38 hours in total, because 18 + 20 = 38.

If she earns $6 per hour, and she worked for 38 hours, then she got 38 sets of 6, which you can find the answer to by multiplying 38 and 6.

This is essentially 6 + 6 + 6 +...

38 * 6 = $228

So she earned $228 these two weeks.

Hope this helped!

6 0

3 years ago

Read 2 more answers

Q2) If z is directly proportional to x and z = 12 when x = 3, find the value of x when z = 18.

LenKa [72]

Answer:

4.5

Step-by-step explanation:

→ Set up the direct proportion equation

z = kx

→ Substitute in the values

12 = 3k

→ Divide both sides by 3 to isolate k

4 = k

→ Substitute the value of k back into the original direct proportion equation

z = 4x

→ Substitute the value of z in

18 = 4x

→ Divide both sides by 4 to isolate x

4.5 = x

4 0

4 years ago

Read 2 more answers

To evaluate 43/2 find A) the square of 4 and then take the cube root. B) the cube of 4 and then take the square root. C) the squ

tatiyna

Answer:

B) the cube of 4 and then take the square root

Step-by-step explanation:

43/2 = 21.5

___

The answer choices suggest you want ...

4^(3/2) . . . . . . . appropriate math symbols are very helpful

This can be evaluated several ways:

$4^{\frac{3}{2}}=\sqrt{4^3}=(\sqrt{4})^3=10^{\frac{3}{2}\log{4}}\\\\=8$

_____

Since the 3 is in the numerator of the fraction, it represents a cube, not a cube root. Any of the answer choices suggesting cube root is involved are incorrect. (Eliminating those leaves only the correct answer choice.)

4 0

3 years ago