Question

The first five terms of a sequence are 7, 10, 13, 16, and 19.

Which of the following functions define this sequence for all integers n ≥ 1?

Answer 1

Option B is correct

For , the function for the given sequence is defined as;

Step-by-step explanation:

An arithmetic sequence is a sequence in which the difference between each consecutive term is constant.

An explicit formula for this arithmetic sequence given by;

where a represents first term

Since, the given sequences; 7 , 10 , 13 , 16 and 19

⇒ common difference(d) = 3 and a = 7

Since.

10 -7 = 3

13- 10 = 3 ....

The function which defined this sequence is;

using distributive property:

therefore, the function for the given sequence for all integers is;