Write the first five terms of the geometric sequence a_1=1,r=1/3

Davirnoilc

Davirnoilc

Answered question

2022-11-17

Write the first five terms of the geometric sequence a 1 = 1 , r = 1 3

Answer & Explanation

reinmelk3iu

reinmelk3iu

Beginner2022-11-18Added 21 answers

The standard terms in a geometric sequence are.
a , a r , a r 2 , a r 3 , ... . , a r n - 1
where a is the first term and r the common ratio.
Each term in the sequence is obtained by multiplying the previous term by r, the common ratio.
a 1 = 1
a 2 = 1 × 1 3 = 1 3
a 3 = 1 3 × 1 3 = 1 9
a 4 = 1 9 × 1 3 = 1 27
a 5 = 1 27 × 1 3 = 1 81
The first five terms are 1 , 1 3 , 1 9 , 1 27 , 1 81

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