1. Introduction to APs and GPs Questions

2. State whether the given sequence is arithmetic, geometric or neither.
Find a formula for , the nth term of each sequence.
Neither an AP or GP, the rule is: a)
This is a GP and the rule is: b)

3. Find the first term of the arithmetic sequence where
Solution: The first term is 4
Find the number of multiples of 6 between 28 and 280.
Solution: There are 42 multiples of 6

4. How many four digit numbers are not divisible by 11?
Solution: numbers are not divisible by 11
True or false? If the sequence a, b, c is
arithmetic, then the sequence is
geometric.
Solution: True

5. Find x and y if the sequence is geometric.
Solution:
Find x if the sequence is
a) arithmetic and b) geometric
Solution: a) 8 b) 6
Assuming that a and b are positive, find x if the sequence a, x, b is:
a) arithmetic
b) geometric

6. A man of mass 90 kg plans to diet and to reduce his mass to 72 kg in four weeks by a constant percentage reduction each day. What should his mass be 1 week after starting his diet? (Leave your answer correct to 3 significant figures.)
Answer: kg
Find the possible values for the constants a and c (a < c), given that a,12, c are consecutive terms of a G.P. and a, 20, c are consecutive terms of an A.P.
Answer: c = 36, a = 4