Which of the following is the solution to the equation 2/3 over 3x = 12?
1 answer:
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Answer:
a₈ = 37
Step-by-step explanation:
The given arithmetic sequence is: 3, 8, 13, 18, 23, . . .
The recursive formula for the sequence is:
Here, represents the
of the sequence.
And, represents the
of the sequence.
'+5' denotes that '5' is added to the term to get the
term. In other words, the difference between two consecutive numbers in the sequence is 5.
Now, we are asked to find a₈ i.e., n =8.
Substituting in the recursive formula we get: a₈ = a₍₈₋ ₁₎ + 5 = a₇ + 5.
So, to determine a₈ we need to know a₇. From the sequence we see that a₅ = 23.
⇒ a₆ = 23 + 5 = 28.
⇒ a₇ = 28 + 5 = 32.
⇒ a₈ = 32 + 5 = 37.
Therefore, the term of the sequence is 37.
So we just need to plug in our values and solve
we are given v is 369 so we have
now we solve for x.
divide both sides by 20
square both sides
subtract 273 from both sides
so a temp of about 67 degrees C
we are given v is 369 so we have
now we solve for x.
divide both sides by 20
square both sides
subtract 273 from both sides
so a temp of about 67 degrees C