Question
Find the 60th term of the arithmetic sequence -29, -49, -69
Answers
GPT 3.5
To find the 60th term of an arithmetic sequence, we need to find the common difference and use the formula for the nth term.
The common difference in this case is obtained by subtracting each term from the previous term.
Let's calculate the common difference:
-49 - (-29) = -49 + 29 = -20
-69 - (-49) = -69 + 49 = -20
We can see that the common difference is -20.
The formula for the nth term of an arithmetic sequence is:
a + (n-1)d
In this case, a = -29 (first term), d = -20 (common difference), and n = 60 (term number we want to find).
The 60th term of the sequence is therefore:
-29 + (60-1)(-20) = -29 + 59(-20)
= -29 + (-1180)
= -1209
Therefore, the 60th term of the arithmetic sequence is -1209.
The common difference in this case is obtained by subtracting each term from the previous term.
Let's calculate the common difference:
-49 - (-29) = -49 + 29 = -20
-69 - (-49) = -69 + 49 = -20
We can see that the common difference is -20.
The formula for the nth term of an arithmetic sequence is:
a + (n-1)d
In this case, a = -29 (first term), d = -20 (common difference), and n = 60 (term number we want to find).
The 60th term of the sequence is therefore:
-29 + (60-1)(-20) = -29 + 59(-20)
= -29 + (-1180)
= -1209
Therefore, the 60th term of the arithmetic sequence is -1209.