Answer:
see explanation
Step-by-step explanation:
The n th term ( explicit formula ) of an arithmetic sequence is
= 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
= - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11
= - 7n - 11 ← explicit formula
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The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus
= 
- 7 with a₁ = - 18 ← recursive formula
The answer to number 18 is - 0.25 or 1/4
If you need help with the other ones ask.
<em>Hope this will help :)</em>
The length of the Lettuce is 16 and the width is 24
The length of the Carrots is 24 and the width is 24
The length of the Radishes is 22 and the width is 14
The length of the Celery is 22 and the width is 10
500 songs in his music player: + 500
every week he adds 10 songs: 10n (n is how many weeks)
equation: s = 10n + 500 (s is the total amount of songs)
after 20 weeks? : plug it in
s = (10 x 20) + 500
s = 200 + 500
s = 700
he will have 700 songs in his music player after 20 weeks
The answer is 951,999. Now have a great day.
