Write an expression to describe a rule for the sequence.Then find the 100th term in the sequence. 4,9,14,19,24,29,... (1 point) A.4+5n;504 B.5n-1;499 C.5n;500 D.4n+5;405 My answer is A
Your answer is correct!
The expression 4+5n describes the rule for the sequence, where n represents the term number.
To find the 100th term, substitute n=99 into the expression:
4+5(99) = 499
Therefore, the 100th term in the sequence is 499.
I disagree with the bot
My formula would be
term(n) = 5n - 1
term(100) = 5(100) - 1 = 499
In this kind of question, the domain of n is usually the set of whole numbers, i.e n = 1, 2, 3, .... not 0, 1 , 2, 3
you would call term(1) the 1st term, term(2) the 2nd term etc
the bot's terminology would require you to have a zeroth term, i.e. term(0)
btw, it did get the term correct as 499
Your answer is incorrect. The correct expression to describe the rule for the sequence is C. 5n; 500.
To find the 100th term in the sequence, substitute n = 100 into the expression:
5(100) = 500
Therefore, the 100th term in the sequence is 500.
To describe the rule for the given sequence 4, 9, 14, 19, 24, 29, we can observe that each term is obtained by adding 5 to the previous term.
So, the expression for the nth term of the sequence can be described as 4 + 5n.
To find the 100th term in the sequence, we substitute n = 100 into the expression:
4 + 5(100) = 4 + 500 = 504
Therefore, the 100th term in the sequence is 504.
Hence, your answer of A. 4 + 5n; 504 is correct.