HELP PLEASE! I will rate 5 stars and give brainliest!!!
1 answer:
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
--------------------------------------------------------------
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
You might be interested in
Answer: 1) 2, 3, 4, 9, 32, 279, 8896, 2481705, 22077238784
2) 2,490,924
3) Neither
<u>Step-by-step explanation:</u>
Neither
Not arithmetic because the difference between each of the terms is not the same.
S₂ - S₁ S₃ - S₂ S₄ - S₃
3 - 2 = 1 4 - 3 = 1 9 - 4 = 5
Not geometric because the ratios between each of the terms is not the same.
8x-9y=11
Add 9y to both sides
8x = 11 + 9y
Subtract 11 on both sides
8x - 11 = 9y
Divide 9 on both sides
Add 9y to both sides
8x = 11 + 9y
Subtract 11 on both sides
8x - 11 = 9y
Divide 9 on both sides