Write an expression to describe a rule for the sequence. Then find the 100th term in the sequence. 5, 13, 21, 29, 37, 45

1)8n;800
2)8n-3;797
3)3n-8;292
4)5+8n;805

I think #4 is correct.
Thank you.

I think she wants yall to too tell her the answer so she can check it-

an = d (n - 1) + c, where d is the common difference between consecutive terms, and c = a1.

an=8(n-1)+5. Get rid of the brackets and gather like terms then substitute n=100

8n -3; 797 i think! ( ^▽^)

I'm sorry, the correct answer is 8n - 3 with the 100th term being 797. You are correct!

To find the expression that describes the rule for the sequence, we need to examine the pattern among the given terms: 5, 13, 21, 29, 37, 45.

We can see that each term is 8 more than the previous one, which indicates that the common difference between terms is 8. Thus, we can express the rule as 8n + a, where n represents the term number and a is a constant.

To find the value of 'a', we substitute the first term (5) into the equation and solve for 'a':

5 = 8(1) + a
5 = 8 + a
a = 5 - 8
a = -3

Therefore, the expression that describes the rule for the sequence is 8n - 3.

Now, to find the 100th term in the sequence, we substitute n = 100 into the expression:

8(100) - 3 = 800 - 3 = 797

So, the 100th term in the sequence is 797. Since option #2 matches this result, your initial choice is correct.

if n = 0, y = 5

differences are8
so
5 + 8 n
100th term when n = 99
5 + 8(99) = 800
they mean 101 st term
5 + 8(100) = 805

could also have said 5 + 8(n-1)

I Ain't telling her nun