Below is the term-to-term rule for a sequence written in terms of :
What is the value of the 11th element in the sequence?
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Below is the term-to-term rule for a sequence written in terms of :
What is the value of the 11th element in the sequence?
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The sequence formula is given as , and we need the 11th term, so .
Step 2: Substitute into the sequence formula:
Step 3: Perform the calculation:
.
Then subtract 2 to get .
Therefore, the value of the 11th element in the sequence is .
Look at the following set of numbers and determine if there is any property, if so, what is it?
\( 94,96,98,100,102,104 \)
n represents the position of the term in the sequence. So for the 11th term, n = 11, for the 5th term, n = 5, and so on.
Check by calculating the first few terms! For : 1st term = , 2nd term = , 3rd term = . The sequence should be 2, 6, 10, 14...
That's totally normal! Some sequences have negative terms. Just make sure you follow the order of operations correctly: multiply first, then subtract.
Yes! That's the beauty of having a position formula. Whether you want the 1st term, 50th term, or 100th term, just substitute that number for n.
Calculate a couple terms around your answer to see if the pattern makes sense. For the 11th term = 42, try the 10th term: and 12th term: . The sequence should increase by 4 each time! ✓
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