Gunsaz

Gunsaz

Answered

2022-10-02

How do you write the first five terms of the sequence a n = 10 n 2 3 ?

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Answer & Explanation

Colin Dougherty

Colin Dougherty

Expert

2022-10-03Added 8 answers

We have: a n = 10 n 2 3
To evaluate the first five terms, simply replace n with the number of the term:
a 1 = 10 1 2 3 = 10 1 = 10
a 2 = 10 2 2 3 = 10 ( 2 2 ) 1 3 = 10 4 3
a 3 = 10 3 2 3 = 10 ( 3 2 ) 1 3 = 10 9 3
a 4 = 10 4 2 3 = 10 ( 4 2 ) 1 3 = 10 16 3
a 5 = 10 5 2 3 = 10 ( 5 2 ) 1 3 = 10 25 3
Therefore, the first five terms of the sequence are 10 , 10 4 3 , 10 9 3 , 10 16 3 and 10 25 3

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