This is what the graph of in(x) looks like
Answer:
ill help
Step-by-step explanation:
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
Step-by-step explanation:
1. Perimeter = 2 ( 5+4) = <u>18 cm</u>
Area = 5 × 4 = <u>20 cm^2</u>
2. Perimeter = 2 (5+5) = <u>20 cm</u>
Area = 5 × 5 = <u>25 cm^2</u>
3. Cups of seed needed per sq. meter = Area of the rectangle backyard
= 6 × 7
= <u>42 </u><u>cups</u><u> </u><u>of</u><u> </u><u>seed</u>
4. Feet of fence needed = Perimeter of the Square garden
= 2(8+8)
<u>= 32 feet</u>
5. Perimeter of rectangular quilt = 2 (4+6) feet
= <u>20 feet</u>
6. Area of the room = 9 feet × 8 feet
= <u>72 feet^2</u>