Question

Here are the first five terms of an arithmetic sequence. 4 9 14 19 24 Find, in terms of n, an expression for the nth term of this sequence

Answer 1

The nth term can be represented by;

Tn = 5n- 1

Explanation:

In this question, we are concerned with finding an expression in terms of n for then the term of the sequence.

Mathematically, the nth term of a sequence Tn can be represented by the formula;

Tn = a + (n-1)d

where a is the first term in the sequence which is 4 , and d is the common difference which is the difference between 2 consecutive terms which is 9-4= 5

our n is n, since we do not know the number of terms we are finding for

Plugging these values, we have;

Tn = 4 + (n-1)5

Tn = 4 + 5n -5

Tn = 5n- 1