Math Problem Statement

Fill in the next two terms in the sequence below. The rule is: Start at 800 and subtract 40 each time. The sequence begins as 800, 760, 720, 680, ...

Solution

The sequence starts at 800 and decreases by 40 each time. The given numbers are:

  • 800, 760, 720, 680, ...

Following the rule of subtracting 40, the next two terms are:

  1. 68040=640680 - 40 = 640
  2. 64040=600640 - 40 = 600

Final Answer:

The next two terms are 640 and 600.

Would you like a detailed explanation of arithmetic sequences or further help?

Related Questions:

  1. What is the formula for the nn-th term of an arithmetic sequence?
  2. How do you find the sum of the first nn terms in an arithmetic sequence?
  3. What are some examples of decreasing sequences in real life?
  4. How would you graph this sequence on a number line or coordinate plane?
  5. Can you identify patterns if the rule changes to subtracting 20 instead of 40?

Tip:

Always double-check your subtraction or addition when working with sequences, especially if the pattern involves repeated steps!

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Subtraction

Formulas

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

Theorems

Properties of arithmetic progressions

Suitable Grade Level

Grades 5-7