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3 years ago

HELP PLEASE! I will rate 5 stars and give brainliest!!!

Mathematics

1 answer:

larisa86 [58]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

The n th term ( explicit formula ) of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁₂ = - 95 and a₃₇ = - 270 , then

a₁ + 11d = - 95 → (1)

a₁ + 36d = - 270 → (2)

Subtract (1) from (2) term by term to eliminate a₁

25d = - 175 ( divide both sides by 25 )

d = - 7

Substitute d = - 7 into (1) and solve for a₁

a₁ + 11(- 7) = - 95

a₁ - 77 = - 95 ( add 77 to both sides )

a₁ = - 18 , thus

$a_{n}$ = - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11

$a_{n}$ = - 7n - 11 ← explicit formula

--------------------------------------------------------------

The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus

$a_{n}$ = $a_{n-1}$ - 7 with a₁ = - 18 ← recursive formula

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3 years ago

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Paraphin [41]

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Step-by-step explanation:

We know the relationship:

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We know that the speed of the train was 105km/h

And we know that it leaves at 13:14, and arrives at 15:08.

Then the total amount of time that the train was traveling is:

T = (15 hours and 8 mins) - (13 hours and 14 mins)

= (15 - 13) hours and (8 - 14) mins

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This can be done as follows:

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3 years ago

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Calculate the noon sun angles for new orleans, usa and helsinki, finland on september 22. in the answer below, new orleans answe

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We need to calculate noon sun angle. Noon sun angle is an angle at which sun-rays fall at noon on a given date.
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