Sequences: Is a value a term in a sequence? Silent Teacher Intelligent Practice Narration Your Turn Is 100 in the sequence 10, 20, 30, 40, 50, … ? Is 100 in the sequence 2, 4, 6, 8, 10, … ? Is 100 in the sequence 5, 7, 10, 13, 16, … ? Practice

Worked Example Your Turn Is 100 in the sequence 16, 20, 24, 28, 32, … ? Is 100 in the sequence 26, 30, 34, 38, 42, … ? 𝑛𝑡ℎ 𝑡𝑒𝑟𝑚 𝑖𝑠 4𝑛+22 4𝑛+22=100 4𝑛=78 𝑛=19.5 As 𝑛 isn’t an integer, 100 is not in the sequence

1. Is 101 in the sequence 1, 4, 7, 10, 13, … ? 6. Is -101 in the sequence 13, 10, 7, 4, 1, … ? 2. Is 101 in the sequence 4, 7, 10, 13, 16, … ? 7. Is -110 in the sequence 16, 13, 10, 7, 4, … ? 3. Is 101 in the sequence 5, 8, 11, 14, 17, … ? 8. Is -110 in the sequence 17, 14, 11, 8, 5, … ? 4. Is 101 in the sequence 5, 9, 13, 17, 21, … ? 9. Is -101 in the sequence 21, 17, 13, 9, 5, … ? 5. Is 1010 in the sequence 50, 90, 130, 170, 210, … ? 10. Is -1010 in the sequence 210, 170, 130, 90, 50, … ?

1. Is 101 in the sequence 6. Is -101 in the sequence 1, 4, 7, 10, 13, … ? 6. Is -101 in the sequence 13, 10, 7, 4, 1, … ? No, 34th term is 100, 35th term is 103 Yes, it’s the 39th term 2. Is 101 in the sequence 4, 7, 10, 13, 16, … ? 7. Is -110 in the sequence 16, 13, 10, 7, 4, … ? No, 33rd term is 100, 34th is 103 Yes, it’s the 40th term 3. Is 101 in the sequence 5, 8, 11, 14, 17, … ? 8. Is -110 in the sequence 17, 14, 11, 8, 5, … ? Yes, it’s the 33rd term No, 34th term is -100, 35th term is -103 4. Is 101 in the sequence 5, 9, 13, 17, 21, … ? 9. Is -101 in the sequence 21, 17, 13, 9, 5, … ? Yes, it’s the 25th term No, 31st term is -99, the 32nd term is -103 5. Is 1010 in the sequence 50, 90, 130, 170, 210, … ? 10. Is -1010 in the sequence 210, 170, 130, 90, 50, … ? Yes, it’s the 25th term No, 31st term is -99, the 32nd term is -103