The first term of the sequence is -168 and every term after the first is 8 more than term immediately proceeding it. Find the 88th term.
See previous post.
To find the 88th term in the sequence, we need to find the pattern in the sequence and use it to calculate the term.
According to the problem, the first term of the sequence is -168 and every term after the first is 8 more than the term immediately preceding it.
Let's break down the steps to find the 88th term:
1. We know the first term is -168.
2. To find the second term, we add 8 to the first term: -168 + 8 = -160.
3. To find the third term, we add 8 to the second term: -160 + 8 = -152.
4. We can observe that the difference between the terms is always 8.
5. Therefore, to find the nth term, we can use the formula: a + (n-1)d, where a is the first term (-168), n is the term number (88), and d is the common difference (8).
6. Plugging in the values into the formula, we have: -168 + (88-1)8.
Now we can calculate the 88th term:
-168 + (88-1)8 = -168 + 87 * 8 = -168 + 696 = 528.
Therefore, the 88th term in the sequence is 528.
To find the 88th term of the sequence, we can use the given information that the first term is -168 and every term after the first is 8 more than the term immediately preceding it.
We can start by finding the second term of the sequence. The first term is given as -168, so to find the second term, we add 8 to the first term:
-168 + 8 = -160
Next, we find the third term by adding 8 to the second term:
-160 + 8 = -152
We can continue this process to find the subsequent terms until we reach the 88th term. However, instead of manually calculating each term, we can observe a pattern in the sequence.
Since each term is 8 more than the preceding term, we can express the nth term as:
Term(n) = Term(n-1) + 8
Using this recursive formula, we can generate the terms of the sequence up to the 88th term using a loop or a formula.
For example, using a python code snippet to calculate the 88th term:
```python
def find_nth_term(n):
first_term = -168
for i in range(2, n+1):
first_term += 8
return first_term
n = 88
nth_term = find_nth_term(n)
print("The", n, "th term is:", nth_term)
```
By running this code snippet, we can find that the 88th term of the sequence is 520.