196k views
4 votes
the first three terms of a sequence are given. round to the nearest thousandth (if necessary) 462, 453, 444. find the 30th term

1 Answer

4 votes

Answer: 201

Explanation:

To find the pattern in this sequence, we can subtract each term from the previous term:

453 - 462 = -9

444 - 453 = -9

We see that each term in the sequence is decreasing by 9. Therefore, we can use the formula for the nth term of an arithmetic sequence to find the 30th term:

a30 = a1 + (n-1)d

where a1 is the first term, d is the common difference, and n is the term number we want to find.

Using the values given in the problem:

a1 = 462

d = -9

n = 30

a30 = 462 + (30-1)(-9)

a30 = 462 - 261

a30 = 201

Therefore, the 30th term of the sequence is 201.

User Botond Vajna
by
8.0k points

Related questions

asked Jun 6, 2023 172k views
Garzj asked Jun 6, 2023
by Garzj
7.3k points
1 answer
4 votes
172k views