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What sequence has a common difference of d=4?
What sequence has a common difference of d=4?
-13,-9,-5,-1,3
What sequence has a common difference of d=-4?
What sequence has a common difference of d=-4?
13,9,5,1,-3
Find the first 5 terms of the arithmetic sequence aₙ=-10-3n.
Find the first 5 terms of the arithmetic sequence aₙ=-10-3n.
-13,-16,-19,-22,-25
Find the first 5 terms of the arithmetic sequence aₙ=10+3n.
Find the first 5 terms of the arithmetic sequence aₙ=10+3n.
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Find the first 5 terms of the arithmetic sequence aₙ=8+5n.
Find the first 5 terms of the arithmetic sequence aₙ=8+5n.
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Find the first 5 terms of the arithmetic sequence aₙ=-8-2n.
Find the first 5 terms of the arithmetic sequence aₙ=-8-2n.
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Find the explicit formula of an arithmetic sequence if a₁=3 and d=7.
Find the explicit formula of an arithmetic sequence if a₁=3 and d=7.
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Find the explicit formula of an arithmetic sequence if a₁=7 and d=3.
Find the explicit formula of an arithmetic sequence if a₁=7 and d=3.
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Find the explicit formula of an arithmetic sequence if a₁=5 and d=8.
Find the explicit formula of an arithmetic sequence if a₁=5 and d=8.
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Find the explicit formula of an arithmetic sequence if a₁=8 and d=5.
Find the explicit formula of an arithmetic sequence if a₁=8 and d=5.
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Find the missing terms of the arithmetic sequence: 10,,,,,__,40.
Find the missing terms of the arithmetic sequence: 10,,,,,__,40.
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Find the missing terms of the arithmetic sequence: -17,,,,,__,-35.
Find the missing terms of the arithmetic sequence: -17,,,,,__,-35.
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Study Notes
Arithmetic Sequences Overview
- An arithmetic sequence is defined by a common difference (d) between consecutive terms.
Common Differences
- An arithmetic sequence with a common difference of d=4 includes the terms: -13, -9, -5, -1, 3.
- An arithmetic sequence with a common difference of d=-4 features the terms: 13, 9, 5, 1, -3.
Finding Sequence Terms
- For the arithmetic sequence represented by aₙ=-10-3n, the first five terms are: -13, -16, -19, -22, -25.
- The sequence aₙ=10+3n yields the first five terms: 13, 16, 19, 22, 25.
- The sequence aₙ=8+5n gives the first five terms: 13, 18, 23, 28, 33.
- In the case of aₙ=-8-2n, the first five terms are: -10, -12, -14, -16, -18.
Explicit Formulas
- The explicit formula for an arithmetic sequence starting with a₁=3 and a common difference of d=7 is aₙ=-4+7n.
- For a sequence with a₁=7 and d=3, the formula is aₙ=4+3n.
- If a₁=5 and d=8, the formula becomes aₙ=-3+8n.
- For a₁=8 and d=5, the formula is aₙ=3+5n.
Finding Missing Terms
- In the sequence 10, __, __, __, __, __, 40, the missing terms are: 15, 20, 25, 30, 35.
- For the sequence -17, __, __, __, __, __, -35, the missing terms include: -20, -23, -26, -29, -32.
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Test your understanding of arithmetic sequences with these flashcards. Each card focuses on identifying common differences and finding terms of specific sequences. Perfect for reviewing key concepts in Algebra 2.
