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Cerrena [4.2K]
3 years ago
5

If the nth term of a sequence is 28-3n what is the 7th term?

Mathematics
2 answers:
stira [4]3 years ago
5 0
Erms.
For 3, 9, 27, ... the common ratio is 3 because:
3 X 3 = 9
9 X 3 = 27
So to find the 7th term you can do it two ways:
One way:
3 is the 1st term, 9 is the 2nd term, 27 is the 3rd term so then
4th term: 27 X 3 = 81
5th term: 81 X 3 = 243
6th term: 243 X 3 = 729
7th term: 729 X 3 = 2,187
Another way:
You can use the explicit formula
a
n
=
a
1
⋅
r
n
−
1
, where
a
n
is the nth term,
a
1
is the first term, n is the number of the term, and r is the common ratio
so
a
7
=
3
⋅
3
7
−
1

a
7
=
3
⋅
3
6

a
7
=
3
⋅
729

a
7
=
2
,
187

Both ways get you to the same answer that the 7th term in that geometric sequence is 2, 187 .
expeople1 [14]3 years ago
3 0

Answer:

7

Step-by-step explanation:

28-3(7)

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1 divided by 7+3 root 2
slega [8]

Answer:

7-3√2/31

Step-by-step explanation:

Rationalise it and you'll get your answer.

3 0
3 years ago
A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 4 feet per second.
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Let d_m,\ d_e represent the depth of the miner and equipments elevator, respectively. We know that equipment elevator descends with a velocity of v_e = 4 feet per second, and the miners one descends with a velocity of v_m = 15 feet per second.

If we start counting time (t=0) when the equipment elevator begins to descend, after t seconds its depth will be

d_e(t) = v_et = 4t

On the other hand, the miner elevator follows the same rule, but we have to use its velocity, and remember that it starts with a delay of thirty seconds:

d_m(t) = v_m(t-30) = 15(t - 30)

Now, we have to wait the 30 seconds of delay, and then another 14 seconds. This means that we want to know the positions of both elevators when t = 44. Let's plug this value into the two equations:

d_e(44) = 4\cdot 44 = 176

d_m(44) = 15(44-30) = 15\cdot 14 = 210

So, the equipment elevator is 176 feet deep, and the miner elevator is 210 feet deep, and thus this is the deeper one.

7 0
3 years ago
HELP ME PLEASE !!!!!!
koban [17]

Answer:

13.08

Step-by-step explanation:

Step 1: find the sum of all numbers

= 104.65

Step 2: divide by how many values there are

=8

Step 3: solve

104.65 ÷ 8 = 13.08125....

Step 4: round to the hundredths place

= about 13.08

5 0
3 years ago
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What is the probability of flipping two coins and both landing on heads
prisoha [69]

Answer:

The probability of getting heads on the toss of a coin is 0.5. If we consider all possible outcomes of the toss of two coins as shown, there is only one outcome of the four in which both coins have come up heads, so the probability of getting heads on both coins is 0.25. The second useful rule is the Sum Rule.

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3 years ago
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charle [14.2K]

Answer:

The answer is x=4

Step-by-step explanation:

so you have -4x-2=-18

so we get rid of -2 by adding it to the other side so you'll end up having -4x=-16

you then divide that by -4 on both sides and get x=4 as your remaining answer

6 0
3 years ago
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