Introduction to APs and GPs Questions

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Presentation transcript:

Introduction to APs and GPs Questions

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)

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

How many four digit numbers are not divisible by 11? Solution: 8181 numbers are not divisible by 11 True or false? If the sequence a, b, c is arithmetic, then the sequence is geometric. Solution: True

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

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: 85.1 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