Write down in terms of n, an expression for the nth term
1 answer:
Answer:
= - 7n - 1
Step-by-step explanation:
There is a common difference between consecutive terms , that is
- 15 - (- 8) = - 22 - (- 15) = - 29 - (- 22) = - 36 - (- 29) = - 7
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 8 and d = - 7 , then
= - 8 - 7(n - 1) = - 8 - 7n + 7 = - 7n - 1
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Answer: OPTION B
Step-by-step explanation:
You need to remember that, to subtract radicals, the indices and the radicands must be the same.
Given the expression , you can identify that both have index 2 and the radicands are 2 (The numbers that are inside of radicals), therefore, you can conclude that the subtraction can be made.
Then, you must subtract the terms in front of the radicals. Therefore, you get:
You can observe that this matches with the option B.
Let's assume
the number of hours Susan jogs at the increased speed is 't' hours
Since, increased speed is 6 miles per hour
after 't' hours , she travles with increased speed is 6*t miles
She starts off with a half-hour walk at a pace of 2 miles per hour
so, she travels distance
=0.5*2 miles
=1 miles
She travels a total of 4 miles
total distance is
=6t+1
now, we can set them equal
now, we can solve for t
Subtract both sides by 1
Divide both sides by 6
we get
so, the number of hours Susan jogs at the increased speed is 0.5 hrs.........Answer