Math Problem Statement

The first term of a sequence is 20

The term-to-term rule is -6

What is the 3rd term?

Solution

The first term of the sequence is 2020, and each term is obtained by subtracting 6 from the previous term.

Let's calculate up to the 3rd term:

  • 1st term: 2020
  • 2nd term: 206=1420 - 6 = 14
  • 3rd term: 146=814 - 6 = 8

Thus, the 3rd term is 88.

Would you like further details or have any questions?

Here are 5 related questions to consider:

  1. What would be the 5th term in this sequence?
  2. How can you express the nn-th term of this sequence algebraically?
  3. What type of sequence is this, and how do you classify it?
  4. What happens to the sequence if the rule changes to 4-4 instead of 6-6?
  5. What is the sum of the first 3 terms of this sequence?

Tip: For sequences where the rule involves subtraction, the common difference is negative, leading to a decreasing arithmetic sequence.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequence
Algebra

Formulas

nth term of arithmetic sequence: a_n = a_1 + (n-1) * d

Theorems

Arithmetic sequence theorem

Suitable Grade Level

Grades 6-8