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3 years ago

The product of two consecutive terms of the Arithmetic sequence 5,8,11.....is 598.find the position of the term?

Mathematics

1 answer:

lbvjy [14]3 years ago

3 0

Answer:

Step-by-step explanation:

Common difference is 3.

Let x be a term in the sequence. The next term in the sequence is x+3.

x(x+3) = 598

x² + 3x - 598 = 0

x = [-3 ± √(3²-4⋅1(-598))]/[2⋅1] = [-3 ± 49]/2 = 23, -26

-26 is an extraneous solution, so x = 23.

The two terms are 23 and 26.

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J.k. Rowling and R.L. Stone are both ready hunger games . J.k. Reads 35 pages every 2 hours and R.L. Reads 45 pages every 3 hour

san4es73 [151]

Answer:

The rate of change for each reader is :

For J K Rowling : 17 and a half pages per hour

For R L Stone : 15 pages per hour

Step-by-step explanation:

Here the reading rate of each reader is given as:

J.K. Reads 35 pages every 2 hours.

So, the number of pages read by J K in 2 hours = 35 pages

⇒ The number of pages read per hour = 35 / 2 = 17 . 5 pages

So, the pages read by J K Rowling in 1 hour is 17 and a half pages.

R L Stone reads 45 pages every 3 hours.

So, the number of pages read by R L in 3 hours = 45 pages

⇒ The number of pages read per hour = 45 / 3 = 15 pages

So, the pages read by R L Stone in 1 hour is 15 pages.

Hence, the rate of change for each reader is :

For J K Rowling : 17 and a half pages per hour

For R L Stone : 15 pages per hour

5 0

3 years ago

The length of one leg of a right triangle is 3 feet more than the other leg. If the hypotenuse is 15 feet find the length of eac

melamori03 [73]

Answer:

Leg1 = 9 and leg2 = 12

Step-by-step explanation:

<u>Points to remember</u>

<u>Pythagorean theorem</u>

Hypotenuse² = Base² + Height²

<u>To find the length of each leg</u>

It is given that, hypotenuse = 15 feet

Let base = x the height = x +3

By using Pythagorean theorem we can write,

Hypotenuse² = Base² + Height²

15² = x² + (x + 3)²

225 = x² + x² + 6x + 9

2x² + 6x + 216 = 0

x² + 3x + 108 = 0

By solving we get x = 9 and x -12

Therefore one leg = 9 and other leg = 9 + 3 = 12

5 0

3 years ago

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jason runs 440 yards in 75 seconds.At this rate how many minutes does it take him to run a mile? (1 mile = 1,760 yards)

Zepler [3.9K]

Answer: 5 minutes

Step-by-step explanation:

We know that 1760 yards are in a mile. We can convert the given info into a proportion. 440/75 = 1760/x, where x is the number of seconds it takes to run a mile. Cross-multiply to get 440x = 75*1760. Divide both sides by 440 to get x = 75*4 = 300 seconds. The problem asks for how many minutes so you have to convert 300 seconds to minutes. To do this, we have to divide 300 by 60 to get 5 minutes.

7 0

3 years ago

HELP WILL GIVE BRAINLIEST!!!!

iris [78.8K]

Answer:

2 x 20^2

Step-by-step explanation:

I did it on paper and looked it up to make sure

5 0

3 years ago

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What is f(5) if f(1) = 3. 2 and f(x 1) = Five-halves(f(x))?

stealth61 [152]

Function assign value from one set to another. The value of f(5), if f(1) = 3.2 and f(x+1) = Five-halves(f(x)) is 125.

<h3>What is Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

As it is given the value of the function f(1) is 3.2, while the value of f(x+1) is $f(x+1) = \dfrac{5}{2}[f(x)]$ , therefore, in order to find the value of f(5), we need to calculate the value of f(4).

f(2)

$f(x+1) = \dfrac{5}{2}[f(x)]\\\\f(2)=f(1+1) = \dfrac{5}{2}[f(1)]\\\\f(2) = 2.5 \times 3.2\\\\f(2) = 8$

f(3)

$f(x+1) = \dfrac{5}{2}[f(x)]\\\\f(3)=f(2+1) = \dfrac{5}{2}[f(2)]\\\\f(3) = 2.5 \times 8\\\\f(3) = 20$

f(4)

$f(x+1) = \dfrac{5}{2}[f(x)]\\\\f(4)=f(3+1) = \dfrac{5}{2}[f(3)]\\\\f(4) = 2.5 \times 20\\\\f(4) = 50$

f(5)

$f(x+1) = \dfrac{5}{2}[f(x)]\\\\f(5)=f(4+1) = \dfrac{5}{2}[f(4)]\\\\f(5) = 2.5 \times 50\\\\f(5) = 125$

Hence, the value of f(5), if f(1) = 3. 2 and f(x+1) = Five-halves(f(x)) is 125.

Learn more about Function:

brainly.com/question/5245372

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1 year ago

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