Problem solving with sequences | Maths | Quizalize & Oak National Academy

Starter quiz

Which words would describe the sequence 1,4,9,16,25, ...?
- Arithmetic
- Linear
- Non-linear ✓
What is the next term in the arithmetic sequence starting -19,-12,-5,2 ...
- 5
- 7
- 9 ✓
- 11
Buses leave for Finchley Park every 25 minutes. If a bus just left at 7:41 am what time will the next bus leave?
- 8:56 am
- 8:66 am
- 8:16 am
- 8:06 am ✓
What is the $n^\text{th}$ term of the arithmetic sequence 8,9,10,11, ...?
- $n+8$
- $8+n$
- $8n$
- $n+7$ ✓
- $n+9$
What is the $n^\text{th}$ term of the arithmetic sequence 8,11,14,17 ...?
- $n+3$
- $8n+3$
- $3n+8$
- $3n+11$
- $3n+5$ ✓
The 118 $^\text{th}$ term of the sequence $5050-7n$ is 4224. What is the 113 $^\text{th}$ term?
- 4266
- 4259 ✓
- 4252
- 4182
- 4189

Which would describe the sequence 1,3,6,10,15, ...?
- Arithmetic
- Linear
- Non-linear ✓
The 2 $^\text{nd}$ term of an arithmetic sequence is 11 and the 6 $^\text{th}$ term is 47. What is the 1 $^\text{st}$ term of the sequence?
- 0
- 1
- 2 ✓
- 3
- 4
Buses leave Wallsend for Byker at regular intervals. The second bus of the day leaves at 6:44 am. You just missed the seventh bus of the day which left at 8:04 am. What time is the next bus?
- 8:14 am
- 8:20 am ✓
- 8:24 am
- 8:30 am
- 8:34 am
The 24 $^\text{th}$ term of an arithmetic sequence is 281. The 37 $^\text{th}$ term is 437. Which calculation will be the starting point to finding the $n^\text{th}$ term of the sequence?
- ${437 - 281}\over{37-24}$ ✓
- ${437 - 281}\over{24-37}$
- ${281 - 437}\over{37-24}$
- ${37-24}\over{437 - 281}$
- ${24-37}\over{437 - 281}$
$What is the <Math>n^\text{th}</Math> term of this sequence?$

What is the $n^\text{th}$ term of this sequence?
- ${n+7} \over {n+5}$
- ${7n+2} \over {5n+3}$
- ${7n+5} \over {5n+2}$
- ${7n-5} \over {5n-2}$ ✓
- It's not an arithmetic (linear) sequence we can't write an $n^\text{th}$ term.
How many triangles are there in this pattern? Don't forget to count all triangles of all sizes.
- 50
- 48 ✓
- 45
- 38
- 35

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The answer to the 'handshake' problem is 15, or 15x15

Group pupils into 3s and ask them to record how many handshakes are made. Then group as 4s and repeat. What do they notice?

Arithmetic sequence - An arithmetic (or linear) sequence is a sequence where the difference between successive terms is a constant.
Nth term - The nth term of a sequence is the position of a term in a sequence where n stands for the term number.