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- What is an arithmetic sequence?
- It is when you add the same value to the previous term each time to get the next term.
- It is when you multiply the previous term by the same value each time.

- What is the common difference?
- It is the value you multiply the previous term by.
- It is the value you add to the previous term.

- Assuming the pattern continues, is 6,10,14,18 an arithmetic sequence?
- No
- Yes

- What is the value of the 51st term of the following arithmetic sequence 2,7,12,17?
- 252
- 257

- Assuming the pattern continues is the sequence 2,4,8,16 an arithmetic sequence?
- Yes
- No

- Assuming the pattern continues is the sequence 8,4,0,-4 an arithmetic sequence?
- Yes
- No

- Assuming the pattern continues is the sequence -4,-7,-10,-13 an arithmetic sequence?
- Yes
- No

- A 14 year old girl has 100 teddy bears and does not want to part with them all at once so she decides to give away 2 teddy bears each birthday after this. What is the nth term of this sequence?
- 100 + (n – 1) -2
- 100 + (n – 1)( -2)

- Using the answer you got in the previous question, what is the term number when she has given away all of her teddy bears?
- 50
- 51
- 64

- Using the answer you got in the previous question, how old will the girl be when she has given away all of her teddy bears?
- 51
- 63
- 64

- Is the following sequence an arithmetic sequence 2, 4, 7, 11, 16?
- Yes
- No

- Is always true for arithmetic sequences?
- Yes
- No

- What effect does a negative common difference have on the terms of an arithmetic sequence?
- Consecutive terms get bigger
- Consecutive terms get smaller

- If the first term of an arithmetic sequence is 1000, does that always mean that all the terms in the sequence are greater than 1000?
- Yes
- No

- Is there a limit to the number of terms in the follow arithmetic sequence 10,8,6,4,2,0,,,,?
- No
- Yes

- If the temperature in Ballybofey during the month of June increased by 0.5 degrees each day and it reached its peak at 25 degrees on the last day of the month, what was the temperature on the 1st of June in Ballybofey that year?
- 10.5
- 12.5

- On the 17th July Martin has €400,000 savings and decides to spend €20,000 each year on the anniversary of this date, after how many withdrawals will he have €8,000 left? He ignores any interest he receives.
- 16
- 17

- If an arithmetic sequence has a positive first term, how can subsequent terms become negative?
- When the common difference is positive but very small.
- When the common difference is negative.

- Is an arithmetic sequence another name for an arithmetic progression (AP)?
- Yes
- No

- Could -99, -66,-33 be an arithmetic sequence and what will the 10th term be?
- Yes and the 10th term will be 199
- No
- Yes and the 10th term will be 198

- An arithmetic sequence is an increasing sequence if an only if
- The common difference is very large and positive.
- The common difference is positive.
- The common difference is an integer.
- The common difference is negative.

- The 11th term of a arithmetic sequence is equal to 54 and the 7th term is equal to 34. Find a and d.
- a=4 and d=5
- a= -1 and d=5

- The first term of an arithmetic sequence is 1.1 and the 21st term of the same sequence is 41.1, find the 16th term.
- 30
- 31.1
- 32

- Does the sequence {a-3d, a-2d, a-d, a,,,,, } form an arithmetic sequence?
- No
- Yes

- The sixth term of an arithmetic sequence is 27 and the tenth term is 47. What is the value of the first term a and the common difference d?
- a=2 and d=2
- a=2 and d=5

(c) Project Maths Development Team