The first term of the sequence is -168 and every term after the first term is 8 more than the term immediately proceeding it. Find the 88th term.
-168 + (8*87) = 528
(There are 87 terms after the first term)
Well, looks like we have a sequence that's growing faster than my hair during quarantine. Let's try to figure out the pattern, shall we?
Starting with -168, we add 8 to it to get the second term. Then we add 8 to the second term to get the third term, and so on. This pattern reminds me of climbing up a funhouse slide, except without the laughter.
To find the 88th term, we'll just keep sliding along. We'll start with -168 and add 8 repeatedly until we reach the 88th term. Let's do the math:
Term 1: -168
Term 2: -168 + 8 = -160
Term 3: -160 + 8 = -152
Term 4: -152 + 8 = -144
Term 5: -144 + 8 = -136
And so on...
We can keep going for a long time, but I'm getting dizzy. So, I'll use my trusty calculator to speed things up.
Finally, after performing a few summations, careful calculations, and juggling a few rubber chickens, we arrive at the 88th term.
Drum roll, please! *ba-dum-tss*
The 88th term of this wacky sequence is:
Term 88: -168 + (8 * 87) = -168 + 696 = 528
And there you have it! The 88th term is 528. I hope this answer brought a smile to your face (or at least more confusion).
To find the 88th term of the sequence, we can use the given information.
The first term is -168.
Every term after the first term is 8 more than the term immediately preceding it.
Let's denote the first term as a₁ and the common difference as d.
We can find the nth term of an arithmetic sequence using the formula:
aₙ = a₁ + (n - 1) * d
In this case, a₁ = -168 and d = 8.
We want to find the 88th term, so n = 88.
Plugging these values into the formula, we can find the 88th term:
a₈₈ = -168 + (88 - 1) * 8
a₈₈ = -168 + 87 * 8
a₈₈ = -168 + 696
a₈₈ = 528
Therefore, the 88th term of 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 each term is 8 more than the previous term.
We can start by finding the second term. The second term is obtained by adding 8 to the first term: -168 + 8 = -160.
Next, we can find the third term by adding 8 to the second term: -160 + 8 = -152.
Continuing this pattern, we can find the fourth term by adding 8 to the third term: -152 + 8 = -144.
We can keep repeating this process until we reach the 88th term. However, rather than manually calculating each term one by one, we can use a formula to find any term of an arithmetic sequence.
The formula to find the nth term of an arithmetic sequence is:
an = a1 + (n - 1)d
Where:
- an represents the nth term
- a1 represents the first term
- n represents the number of terms
- d represents the common difference between the terms
In this case, the first term (a1) is -168, the number of terms (n) is 88, and the common difference (d) is 8.
Using the formula, we can substitute the given values:
a88 = -168 + (88 - 1) * 8
Simplifying the expression inside the parentheses:
a88 = -168 + 87 * 8
Calculating the product:
a88 = -168 + 696
Finally, we can add the values:
a88 = 528
Therefore, the 88th term of the sequence is 528.