Write the nth term rule for the sequence 1,3,5,7,9,...

Barrett Osborn

Barrett Osborn

Answered question

2022-11-03

Write the nth term rule for the sequence 1,3,5,7,9,...

Answer & Explanation

Abril Orr

Abril Orr

Beginner2022-11-04Added 14 answers

This is clearly an arithmetic sequence because the terms differ by 2 each time.
To find the nth term rule we need:
a value for the first term , a
and a value for the common difference d .
These values are then plugged into the formula:
T n = a + ( n - 1 ) d
a = 1 and d = 2
T n = a + ( n - 1 ) d
T n = 1 + ( n - 1 ) 2
T n = 1 + 2 n - 2
T n = 2 n - 1

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