Answer:
3. aₙ = -9n +7
4. d = -2.4
5. a₆ = 45
6. aₙ = 133 + 4n
Step-by-step explanation:
Question 3.
a₁ = -2; aₙ = aₙ₋₁ - 9
The explicit rule for an arithmetic sequence is
aₙ = a₁ + d(n -1 )
d = aₙ - aₙ₋₁
aₙ = aₙ₋₁ - 9 Subtract aₙ₋₁ from each side
aₙ - aₙ₋₁ = -9
d = -9
For this sequence,
aₙ = -2 – 9(n - 1) Remove parentheses
aₙ = -2 - 9n + 9 Combine like terms
aₙ = -9n + 7
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Question 4
d = aₙ - aₙ₋₁
a₂ - a₁ = 6.2 – 8.6 = -2.4
a₃ - a₂ = 3.8 – 6.2 = -2.4, etc.
The common difference is
d = -2.4
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Question 5
aₙ = 8n – 3 Substitute the value of n
a₆ = 8×6 – 3
a₆ = 48 - 3
a₆ = 45
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Question 6
a₁ = 137; d = 4
aₙ = a₁ + d(n -1 )
aₙ = 137 + 4(n -1 )
aₙ = 137 + 4n -4
aₙ = 133 + 4n
Answer:
35,694
35,981
35,102
Step-by-step explanation:
If you're using the hundreds place for comparison, it means the digits in higher places are the same, and that digits in the hundreds place are different.
This will be true for any 5-digit number of the form ...
(3)(5)(not 7)(something)(something).
The numbers might have digits to the right of the decimal point, but those are irrelevant, as are the digits in the 10s and 1s places.
Answer:
100
Step-by-step explanation:
Forumla is
Original price X rate of discount = discount
The original price is $125, the rate of discount is 20%
So in math form, this is 125 x .20
which equals 25.
Lastly, just subtract that from the original price. 125 - 25 = 100.
Answer: There are 3 functions of a red blood cell
Step-by-step explanation:
The main function of a red blood cell is to transfer energy and deliver oxygen to the tissues in your body
