Answer:
I do not see a sequence, but I can tell you what to do to find them.
Explanation:
Use the formula "tn=a+(n-1)d" to find the answer.
I will give an example on how to do this so it is easier to understand.
Sequence: 6, 10, 14, 18, 22, 26, 30... Find the next two terms.
So first, let's recall the formula: tn=a+(n-1)d
Now, let's find the first next term.
We see 7 terms already, so the next one would be the eighth term. Let's plug in what we know now. t8=a+(8-1)d
Now, we know that the first term is 6. Let's plug it in. t8=6+(8-1)d
Lastly, we need to find the common difference. Everything is increasing by 4. Now let's plug it in. t8=6+(8-1)4
Time to solve!!
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t8=6+(8-1)4
8-1=7
7(4)=28
28+6=34
t8=34
Now we have solved it, and the 8th term is 34.
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Now we solve for the 9th term.
Plug in what we know for the 9th term. t9=a+(9-1)d
The first term is 6. Plug in what we know. t9=6+(9-1)d
Common difference is 4. Plug in what we know. t9=a+(9-1)4
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Solve!
9-1=8
8(4)=32
32+6=38
t9=38
Now we have solved it, and the 9th term is 38.
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Since I did not have a sequence, I gave you two examples of how to find the next terms in the sequence.
tn=a+(n-1)d is the formula to find the sequence next term.
To help you understand the formula as well, here is a diagram of what each part means.
tn= Term number (this is why you do not get rid of the t, and you replace the n with a number. In the parentheses, you will replace the n as well with the term number.)
a= First term. (You will replace this a with the first number you see in the sequence.)
d= Common difference (You will replace the d with the number that the sequence is increasing or decreasing by.)
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I hope this helps!
-No one