In the sequence -600, -583, -566, -549,…what is the 65th term?
We can find the common difference between terms by subtracting the second term from the first term:
-583 - (-600) = 17
Therefore, the nth term of this sequence is: -600 + (n-1)17
To find the 65th term, we substitute n = 65:
-600 + (65-1)17 = -600 + 1088 = 488
Therefore, the 65th term in the sequence is 488.
To find the 65th term in the sequence -600, -583, -566, -549,..., we can observe that each term is obtained by adding 17 to the previous term.
Let's calculate the 65th term step by step:
First term: -600
Second term: -600 + 17 = -583
Third term: -583 + 17 = -566
Fourth term: -566 + 17 = -549
We can see a pattern forming. Each term is found by adding 17 to the previous term.
To find the 65th term, we need to repeat this addition process 64 times (since we start with the first term). We can calculate this using the formula:
65th term = first term + (n - 1) * common difference
Using the formula, we find:
65th term = -600 + (65 - 1) * 17
= -600 + 64 * 17
= -600 + 1088
= 488
Therefore, the 65th term in the sequence is 488.
To find the 65th term in the sequence -600, -583, -566, -549,..., we need to determine the pattern and then apply it to find the desired term.
In this sequence, each term increases by 17.
First, we need to find the difference between the first term (-600) and the second term (-583).
-583 - (-600) = 17
Since the difference between each term is 17, we can calculate the 65th term by using the following formula:
Term(n) = first term + (n-1) * difference
where n is the term number.
Plugging in the values:
Term(65) = -600 + (65-1) * 17
= -600 + 64 * 17
= -600 + 1088
= 488
Therefore, the 65th term in the sequence is 488.