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BaLLatris [955]
3 years ago
9

Sequence: 13, 11, 9, 7, .. an = an-1 a1 =​

Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0

Answer:

a

n

=

−

2

n

+

15

Step-by-step explanation:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding

−

2

to the previous term in the sequence gives the next term. In other words,

a

n

=

a

1

+

d

(

n

−

1

)

.

Arithmetic Sequence:

d

=

−

2

This is the formula of an arithmetic sequence.

a

n

=

a

1

+

d

(

n

−

1

)

Substitute in the values of

a

1

=

13

and

d

=

−

2

.

a

n

=

13

+

(

−

2

)

(

n

−

1

)

Simplify each term.

Tap for more steps...

a

n

=

13

−

2

n

+

2

Add

13

and

2

.

a

n

=

−

2

n

+

15

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3 0
2 years ago
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8 0
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3 years ago
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Two airplanes left the same airport and arrived at the same destination at the same time. The first airplane left at 8:00 a.m. a
ddd [48]

The formula for distance is equal to:

d = v * t

where d is distance, v is velocity or speed, and t is time

 

Since the distance travelled by the two airplane is similar, therefore we can create the initial equation:

 

v1 * t1 = v2 * t2

 

We know that v1 = 496, and v2 = 558 so:

 

496 t1 = 558 t2

or

x = 558 t2 / 496

 

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x = t2 + 0.5

 

Hence,

496 (t2 + 0.5) = 558 t2

496 t2 + 248 = 558 t2

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x = 4.5 hours

 

 

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x = 558 t2 / 496

 

And the first plane travelled:

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