Part (i)
I'm going to use the notation T(n) instead of 
To find the first term, we plug in n = 1
T(n) = 2 - 3n
T(1) = 2 - 3(1)
T(1) = -1
The first term is -1
Repeat for n = 2 to find the second term
T(n) = 2 - 3n
T(2) = 2 - 3(2)
T(2) = -4
The second term is -4
<h3>Answers: -1, -4</h3>
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Part (ii)
Plug in T(n) = -61 and solve for n
T(n) = 2 - 3n
-61 = 2 - 3n
-61-2 = -3n
-63 = -3n
-3n = -63
n = -63/(-3)
n = 21
Note that plugging in n = 21 leads to T(21) = -61, similar to how we computed the items back in part (i).
<h3>Answer: 21st term</h3>
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Part (iii)
We're given that T(n) = 2 - 3n
Let's compute T(2n). We do so by replacing every copy of n with 2n like so
T(n) = 2 - 3n
T(2n) = 2 - 3(2n)
T(2n) = 2 - 6n
Now subtract T(2n) from T(n)
T(n) - T(2n) = (2-3n) - (2-6n)
T(n) - T(2n) = 2-3n - 2+6n
T(n) - T(2n) = 3n
Then set this equal to 24 and solve for n
T(n) - T(2n) = 24
3n = 24
n = 24/3
n = 8
This means 2n = 2*8 = 16. So subtracting T(8) - T(16) will get us 24.
<h3>Answer: 8</h3>
Answer:
The answer is -9,9 Its funny cuz I just did this problem on Khan academy
Step-by-step explanation:
Can I get brainliest
2 because if you divide 14 by 7 to isolate the variable you get 2
(3³ x 5³)² - 2
( 27 x 125)² - 2
125 x 27 = 3375
3375² = 11,390,625
11,390,625 - 2 = 11,390,623
Answer:
Goal is not achievable
Step-by-step explanation:
There are Two laps and the total distance here is 2miles. Now, it is said that he hopes to travel at a speed of 60mph, thus the total time that it would take him to complete the 2 miles distance race is 2/60 = 1/30 hours. Thus if he travels at a constant speed of 60mph he would finish the race at 1/30hours.
This means he will take a time of 1/60 hours per lap.
Now, he travels 30mph to complete 1 mile, the time taken for this is 1/30h
We now need to know the speed he travels on the second lap.
Average speed = Total distance/Total time
60mph = 2/( 1/30 + T2)
60 = 2/( (1 + 30T2)/30)
60 = 2 divided by (1 + 30T2)/30
60 = 2 * (30)/1 + 30T2
60( 1 + 30T2) = 60
1 + 30T2 = 1
30T2 = 0
T2 = 0
This means that he cannot achieve his goal again as he had taken the time meant for the whole race in a single lap.
