Write the rule for the nth term given 1,10,100,1000,...

Uroskopieulm

Uroskopieulm

Answered question

2022-11-19

Write the rule for the nth term given 1,10,100,1000,...

Answer & Explanation

partatjar6t9

partatjar6t9

Beginner2022-11-20Added 8 answers

Let t n denote the n t h term of the given seq., n .
We have, t 2 t 1 = 10 , t 3 t 2 = 100 10 = 10 , t 4 t 3 = 1000 100 = 10
This means that the seq. is a Geometric seq., with t 1 = 1 , , and, common ratio r=10
Hence, t n = t 1 r n - 1 = 1 ( 10 ) n - 1 = 10 n - 1 , n

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