Math Problem Statement

Fill in the next two terms in the sequence starting at 900 and subtracting 40 each time.

Solution

To solve the sequence problem:

Given:

  • The sequence starts at 900.
  • The rule is: Subtract 40 each time.

Sequence so far:

900 → 860 → 820 → 780

Next two terms:

  1. Subtract 40 from 780: 78040=740780 - 40 = 740
  2. Subtract 40 from 740: 74040=700740 - 40 = 700

Complete sequence:

900 → 860 → 820 → 780 → 740 → 700

The next two terms are 740 and 700.


Would you like further explanations or examples?

Here are 5 related questions to explore:

  1. What happens if we subtract a different value (e.g., 30) from the sequence?
  2. How do you represent this sequence as an algebraic formula?
  3. Can you find the 10th term of the sequence without listing all terms?
  4. How do arithmetic sequences differ from geometric sequences?
  5. What happens if we add a constant instead of subtracting?

Tip: Arithmetic sequences can be written in a formula form:
an=a1+(n1)da_n = a_1 + (n-1)d
where a1a_1 is the first term, nn is the position, and dd is the common difference.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Basic Subtraction

Formulas

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

Theorems

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Suitable Grade Level

Grades 3-5