94.2k views
5 votes
Given the sequence -9, 391, 791, 1191, 1591 Determine its nᵗʰ term

User Fedepaol
by
8.0k points

1 Answer

3 votes

Final answer:

The nth term of the sequence -9, 391, 791, 1191, 1591 can be determined using the arithmetic sequence formula T(n) = a + (n - 1)d. For this sequence, the formula simplifies to T(n) = 400n - 409.

Step-by-step explanation:

The student has provided a sequence of numbers and is seeking an expression for its nth term. To determine the nth term, a recognizable pattern needs to be found. In this sequence, each number increases by 400. Therefore, the nth term can be given by an arithmetic sequence formula:


T(n) = a + (n - 1)d

where T(n) is the nth term, a is the first term, n is the position in the sequence, and d is the common difference between the terms. Substituting the values for the given sequence (with a = -9 and d = 400), we get:

T(n) = -9 + (n - 1)*400

To simplify,

T(n) = 400n - 409

This is the formula for the nth term of the given sequence.

User Mr Tarsa
by
8.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories