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julia-pushkina [17]
3 years ago
7

Q4) Identify which of the following are geometric sequences and which are

Mathematics
1 answer:
Reptile [31]3 years ago
4 0

Answer:

(i) and (ii)

Step-by-step explanation:

For a sequence to be geometric then the ratio r between consecutive terms must be common.

(1)

2, 6, 18, 54

6 ÷ 2 = 3

18 ÷ 6 = 3

54 ÷ 18 = 3

Here there is a common ratio r = 3 , then sequence is geometric

(ii)

25, 5, 1

\frac{5}{25} = \frac{1}{5} and \frac{a_{3} }{a_{2} } = \frac{1}{5}

There is a common ratio r = \frac{1}{5} , then sequence is geometric

(iii)

1, 4, 9, 16

4 ÷ 1 = 4

9 ÷ 4 = 2.25

16 ÷ 9 = 1.777..

There is no common ratio, then sequence is not geometric

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