F(n) = 1st term - common difference (n - 1)
The operation is subtraction because the sequence is decreasing.
n = number of the term you are looking for
1st term = 1st number in the sequence, in this case, 16
common difference = difference between one number to the next
f(n) = 16 - 1(n-1)
Assuming we are looking for the 5th term.
f(5) = 16 - 1(5-1)
= 16 - 1(4)
= 16 - 4
= 12 * as you can see, 12 is the 5th term of the sequence.
If you are looking for the equivalent of the nth term, simply substitute n by the number you are looking for and solve the equation.
Step-by-step explanation:
hope this helps. in the first part you set the problems equal to each other. in the second, you get rid of one letter, then solve.
There are many ways a problem can be simplified. You can divide by the GCF (Greatest Common Factor) or even factor which depending on where you are in math you may or may not have learned. For your problem, I will use the first method.
3m-8 can be multiplied by any term (keep it simple):
2(3m-8) = 6m-16
4(3m-8) = 12m-32
Your answers should be 6m-16 and 12m-32.
The answer to the question
Answer:
⟨3, –5⟩ and ⟨6, –10⟩
Step-by-step explanation:
⟨3, –5⟩ cross ⟨6, –10⟩ = 0
⟨2, –3⟩ cross ⟨9, –6⟩ = 15
⟨–2, 3⟩ cross ⟨–6, –4⟩ = 26
⟨–5, 4⟩ cross ⟨–4, –2⟩ = 26
⟨3, –5⟩ and ⟨6, –10⟩
