Question

81 27 9 3 what pattern name​

Answer 1

Answer:

A geometric sequence goes from one term to the next by always multiplying (or dividing) by the same value. So 1, 2, 4, 8, 16,... is geometric, because each step multiplies by two; and 81, 27, 9, 3, 1, 31 ,... is geometric, because each step divides by 3.

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Answer 2

Solution :-

given that,

→ First term = a1 = 81

→ Second term = a2 = 27

→ Third term = a3 = 9

→ Fourth term = a4 = 3

checking ratio between two consecutive terms we get,

→ a2/a1 = 27/81 = 1/3

→ a3/a2 = 9/27 = 1/3

→ a4/a3 = 3/9 = 1/3

as we can see that,

→ a2/a1 = a3/a2 = a4/a3 = 1/3

since ratio between two consecutive terms is same . Therefore, we can conclude that, the given terms are in geometric progression .

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