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Finding the n th term (generating formula)
Linear Sequences Finding the n th term (generating formula) © T Madas
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Find the n th term of these sequences:
3, 5, 7, 9, 11, … 4, 9, 14, 19, 24, … 6, 9, 12, 15, 18, … 1, 5, 9, 13, 17, … 3, 7, 11, 15, 19, … 8, 14, 20, 26, 32, … 4, 10, 16, 22, 28, … 13, 16, 19, 22, 25, … 0, 1, 2, 3, 4, 5, … 2n + 1 5n – 1 3n + 3 4n – 3 4n – 1 6n + 2 6n – 2 3n + 10 n – 1 © T Madas
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Find the n th term of these sequences:
1, 3, 5, 7, 9, … 3, 8, 13, 18, 23, … 5, 8, 11, 14, 17, … 0, 4, 8, 12, 16, … 2, 6, 10, 14, 18, … 7, 13, 19, 25, 31, … 3, 9, 15, 21, 27, … 12, 15, 18, 21, 24, … 0, 2, 4, 6, 8, 10, … 2n – 1 5n – 2 3n + 2 4n – 4 4n – 2 6n + 1 6n – 3 3n + 9 2n – 2 © T Madas
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Find the n th term of these sequences:
4, 6, 8, 10, 12, … 5, 10, 15, 20, 25, … 7, 10, 13, 16, 19, … 2, 6, 10, 14, 18, … 4, 8, 12, 16, 20, … 5, 11, 17, 23, 29, … 9, 15, 21, 27, 33, … 14, 17, 20, 23, 26, … 0, 3, 6, 9, 12, 15, … 2n + 2 5n 3n + 4 4n – 2 4n 6n – 1 6n + 3 3n + 11 3n – 3 © T Madas
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Find the n th term of these sequences:
4, 6, 8, 10, 12, … 5, 10, 15, 20, 25, … 7, 10, 13, 16, 19, … 2, 6, 10, 14, 18, … -4, 0, 4, 8, 12, … 15, 12, 9, 6, 3, … 1.5, 2, 2.5, 3, 3.5, … -2, -5, -8, -11, -14, … -3, 0, 3, 6, 9 … 17, 14, 11, 8, 5, … un = 2n + 2 un = 5n un = 3n + 4 un = 4n – 2 un = 4n – 8 un = -3n + 18 un = ½n + 1 un = -3n + 1 un = 3n – 6 un = -3n + 20 © T Madas
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Quick Test on finding nth terms of sequences
© T Madas
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Find the n th term of these sequences:
3, 5, 7, 9, 11, … 4, 9, 14, 19, 24, … 6, 9, 12, 15, 18, … 1, 5, 9, 13, 17, … 3, 7, 11, 15, 19, … 8, 14, 20, 26, 32, … 4, 10, 16, 22, 28, … 13, 16, 19, 22, 25, … 0, 1, 2, 3, 4, 5, … 2n + 1 5n – 1 3n + 3 4n – 3 4n – 1 6n + 2 6n – 2 3n + 10 n – 1 © T Madas
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Find the n th term of these sequences:
1, 3, 5, 7, 9, … 3, 8, 13, 18, 23, … 5, 8, 11, 14, 17, … 0, 4, 8, 12, 16, … 2, 6, 10, 14, 18, … 7, 13, 19, 25, 31, … 3, 9, 15, 21, 27, … 12, 15, 18, 21, 24, … 0, 2, 4, 6, 8, 10, … 2n – 1 5n – 2 3n + 2 4n – 4 4n – 2 6n + 1 6n – 3 3n + 9 2n – 2 © T Madas
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Find the n th term of these sequences:
4, 6, 8, 10, 12, … 5, 10, 15, 20, 25, … 7, 10, 13, 16, 19, … 2, 6, 10, 14, 18, … 4, 8, 12, 16, 20, … 5, 11, 17, 23, 29, … 9, 15, 21, 27, 33, … 14, 17, 20, 23, 26, … 0, 3, 6, 9, 12, 15, … 2n + 2 5n 3n + 4 4n – 2 4n 6n – 1 6n + 3 3n + 11 3n – 3 © T Madas
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Find the n th term of these sequences:
4, 6, 8, 10, 12, … 5, 10, 15, 20, 25, … 7, 10, 13, 16, 19, … 2, 6, 10, 14, 18, … -4, 0, 4, 8, 12, … 15, 12, 9, 6, 3, … 1.5, 2, 2.5, 3, 3.5, … -2, -5, -8, -11, -14, … -3, 0, 3, 6, 9 … 17, 14, 11, 8, 5, … un = 2n + 2 un = 5n un = 3n + 4 un = 4n – 2 un = 4n – 8 un = -3n + 18 un = ½n + 1 un = -3n + 1 un = 3n – 6 un = -3n + 20 © T Madas
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© T Madas
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