Question

An arithmetic sequence whose initial term is 7 and common difference is 4 . The explicit formula for the sequence is ( a_{n}=quad ) for ( n geq 0 ).

Answer 1

The explicit formula for the arithmetic sequence is a_n = 7 + 4(n-1).

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. In this case, the initial term is 7 and the common difference is 4.

To find the explicit formula for the sequence, we can use the formula: an = a1 + (n-1)d, where an is the nth term, a1 is the initial term, n is the position of the term, and d is the common difference.

Applying the values given, the explicit formula for the sequence is:

an = 7 + 4(n-1)