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3 years ago

Which answer is the explicit rule for the sequence 11, 8.5, 6, 3.5, 1 ... ?

Mathematics

2 answers:

iren [92.7K]3 years ago

7 0

Answer:

an=13.5−2.5n

Step-by-step explanation:

To find the common difference

Take the end term and subtract the first term

8.5 -11 = -2.5

Take the third term and subtract the 3rd term to verify

6-8.5 = -2.5 check

The formula for an arithmetic sequence is

an = a1+d(n-1)

an = 11 -2.5(n-1)

Distribute

an = 11 -2.5n+2.5

Combine terms

an = 13.5 - 2.5n

ale4655 [162]3 years ago

6 0

Answer:13-1.5n

Step-by-step explanation:

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A box contains 4 green shirts, 3 blue shirts, 3 white shirts, 5 pink shirts, 2

mariarad [96]

Answer:

A. 2/9

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3 years ago

To ride your favorite roller coaster, you must be at least five feet tall but

AnnZ [28]

Answer:

5 ≤ h<7

Step-by-step explanation:

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3 years ago

Find x <br> 14. (3x + 32) (5x - 8) <br> 15. ( 2x - 10) ( 4x + 16 )

Luden [163]

Answer:

14. -32/3

15. -4 and 5

Step-by-step explanation:

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3 0

3 years ago

What fraction of 34 it will take to make 23?

vova2212 [387]

Answer:

34 = 2 × 17

Step-by-step explanation:

To reduce a fraction divide the numerator and the denominator by their greatest common factor, GCF

7 0

2 years ago

Priya and Joe travel the same 16.8 km route. Priya starts at 9.00 am and walks at a constant speed of 6 km/h Joe starts at 9.30

andrey2020 [161]

Answer:

12:05 PM

Step-by-step explanation:

Priya started at 9:00 AM.

Speed of Priya = 6 km/hr

Joe started at 9:30 AM.

Time at which Joe overtakes Priya = 10:20 AM

Total time taken by Priya = 1 hour 20 min = $\frac{4}{3}\ hr$

Total time taken by Joe = 50 min = $\frac{5}{6}\ hr$

Distance traveled by Priya and Joe is same.

Formula for distance is:

$Distance =Speed\times Time$

Distance covered by Priya = $6 \times \frac{4}{3}$ km

Let speed of Joe = $S$ km/h

Distance covered by Joe = $S \times \frac{5}{6}$

$S \times \dfrac{5}{6} = 6 \times \dfrac{4}{3}\\\Rightarrow S =\dfrac{48}{5}\ km/hr$

Total distance to be covered = 16.8 km

Total time to be taken by Joe =

$\dfrac{16.8}{\frac{48}5} = \dfrac{16.8\times 5}{48} = \dfrac{84}{48} = 1.75\ hours$

1.75 hours mean 1 hour and 45 minutes.

Finishing time at which Joe finishes = 9:30 AM + 1 hour 45 minutes = <em>12:05 PM</em>

8 0

3 years ago