32.2k views
1 vote
Nth term of this sequence 1, 10, 19, 28

User Annie Kim
by
4.2k points

1 Answer

3 votes

Answer:

The nth term of the sequence is

9n - 8

Explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 1

d = 10 - 1 = 9 or 19 - 10 = 9 or 28 - 19 = 9

So the nth term of the sequence is

A(n) = 1 + (n - 1)9

= 1 + 9n - 9

= 9n - 8

A(n) = 9n - 8

Hope this helps you

User Samer Abu Gahgah
by
4.8k points