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GRADE 3 - MATHEMATICS Term 3 - Week 6 Do each day's work as marked. Don't work ahead. MONDAY Extend the following number sequences: 704, 707, 710: 773, 776, 779: 779, 776, 773: TUESDAY 782, 785, 788: : :

Mathematics

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here are the detailed solutions for the MONDAY number sequences.

  • Sequence 1: 704,707,710,…704, 707, 710, \dots
  1. Determine the pattern.

    To find the pattern, subtract consecutive numbers:
    $$
    707 - 704 = 3
    $$
    $$
    710 - 707 = 3
    $$
    The pattern is adding 3 to the previous number.
    
  2. Extend the sequence by two numbers.

    Add 3 to the last given number:
    $$
    710 + 3 = 713
    $$
    Add 3 to the new number:
    $$
    713 + 3 = 716
    $$
    The extended sequence is $704, 707, 710, \boxed{\mathbf{713}}, \boxed{\mathbf{716}}$.
    
    • Sequence 2: 773,776,779,…773, 776, 779, \dots
  3. Determine the pattern.

    $$
    776 - 773 = 3
    $$
    $$
    779 - 776 = 3
    $$
    The pattern is adding 3 to the previous number.
    
  4. Extend the sequence by two numbers.

    $$
    779 + 3 = 782
    $$
    $$
    782 + 3 = 785
    $$
    The extended sequence is $773, 776, 779, \boxed{\mathbf{782}}, \boxed{\mathbf{785}}$.
    
    • Sequence 3: 779,776,773,…779, 776, 773, \dots
  5. Determine the pattern.

    $$
    776 - 779 = -3
    $$
    $$
    773 - 776 = -3
    $$
    The pattern is subtracting 3 from the previous number.
    
  6. Extend the sequence by two numbers.

    $$
    773 - 3 = 770
    $$
    $$
    770 - 3 = 767
    $$
    The extended sequence is $779, 776, 773, \boxed{\mathbf{770}}, \boxed{\mathbf{767}}$.
    
    • Sequence 4: 782,785,788,…782, 785, 788, \dots
  7. Determine the pattern.

    $$
    785 - 782 = 3
    $$
    $$
    788 - 785 = 3
    $$
    The pattern is adding 3 to the previous number.
    
  8. Extend the sequence by two numbers.

    $$
    788 + 3 = 791
    $$
    $$
    791 + 3 = 794
    $$
    The extended sequence is $782, 785, 788, \boxed{\mathbf{791}}, \boxed{\mathbf{794}}$.
    
    • Sequence 5: 779,782,785,…779, 782, 785, \dots
  9. Determine the pattern.

    $$
    782 - 779 = 3
    $$
    $$
    785 - 782 = 3
    $$
    The pattern is adding 3 to the previous number.
    
  10. Extend the sequence by two numbers.

    $$
    785 + 3 = 788
    $$
    $$
    788 + 3 = 791
    $$
    The extended sequence is $779, 782, 785, \boxed{\mathbf{788}}, \boxed{\mathbf{791}}$.
    
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