1. 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

2. 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

3. 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 in the sequence
210, 170, 130, 90, 50, … ?

4. 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 in the sequence
210, 170, 130, 90, 50, … ?
Yes, it’s the 25th term
No, 31st term is -99, the 32nd term is -103