Write the rule for the nth term given 1/20,2/30,3/40,4/50,...

Nasir Sullivan

Nasir Sullivan

Answered question

2022-09-23

Write the rule for the nth term given 1 20 , 2 30 , 3 40 , 4 50 , ...

Answer & Explanation

Adelaide Barr

Adelaide Barr

Beginner2022-09-24Added 9 answers

When trying to find the rule for the nth term, it is useful to write the numbers for n, ie 1,2,3,4,... above or below the terms of the sequence.
Then compare the numbers in the term with n and look for a pattern.
In this sequence:
1 20 , 2 30 , 3 40 , 4 50 , ... numerator the same as n denominator same as 10 x (n+1)
1, 2, 3, 4
So write that in terms of n
T n = n 10 ( n + 1 ) or n 10 n + 10

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