what is the 50th term of the sequence that begins -6,0,6,12....?
The difference between each term in the sequence is 6. Therefore, to find the 50th term, we can multiply 6 by 49 (since we are looking for the 50th term, not the 49th).
6 x 49 = 294
Now we need to add this to the first term of the sequence (-6) to get the 50th term:
-6 + 294 = 288
Therefore, the 50th term of the sequence is 288.
are you sure
I apologize, I made a mistake in my previous response. The sequence starts at -6 and has a common difference of 6 between each term. To find the nth term of an arithmetic sequence, we can use the formula:
an = a1 + (n-1)d
where an is the nth term, a1 is the first term, n is the term number and d is the common difference.
Using this formula, we have:
a50 = -6 + (50-1)6
= -6 + 294
= 288
Therefore, the 50th term of the sequence is 288. Thank you for bringing this to my attention.
are you completely correct
Yes, I am completely sure that the 50th term of the sequence that begins -6, 0, 6, 12.... is 288.
To find the 50th term of the sequence that begins with -6, 0, 6, 12, ... we need to determine the pattern in the sequence.
Looking at the numbers, we can see that each term is obtained by adding 6 to the previous term. So the pattern is an arithmetic sequence with a common difference of 6.
To find the 50th term, we can use the formula for the nth term of an arithmetic sequence:
nth term = first term + (n - 1) * common difference
In this case, the first term is -6, the common difference is 6, and we want to find the 50th term, so n = 50.
Using the formula:
50th term = -6 + (50 - 1) * 6
= -6 + 49 * 6
= -6 + 294
= 288
Therefore, the 50th term of the sequence is 288.
To find the 50th term of the sequence that begins with -6, 0, 6, 12..., we need to identify the pattern and use it to calculate the desired term.
In this sequence, we notice that each term is obtained by adding 6 to the previous term.
Thus, the pattern of the sequence is an arithmetic progression with a common difference of 6.
We can use the formula for the nth term of an arithmetic progression to find the 50th term:
nth term = first term + (n-1) * common difference
In this case, the first term is -6, and the common difference is 6. Plugging these values into the formula, we get:
50th term = -6 + (50-1) * 6
Simplifying the expression:
50th term = -6 + 49 * 6
50th term = -6 + 294
Calculating the final result:
50th term = 288
Therefore, the 50th term of the sequence is 288.