Chapter ISG, Problem 3.2STP

To determine

To form a linear function to the given sequence

Answer to Problem 3.2STP

The linear function for the given sequence is,

  $f(x)=4+3n$

Explanation of Solution

Given information:

The given sequence is,

  $7,10,13,16$

Formula used:

Linear equation formulation

Calculation:

The difference between the two adjacent terms in the sequence is,

  $10-7$

On solving,

  $3$ .

The first number of the sequence is,

7.

Hence, on combining the two statements,

  $f(x)=7+3(n-1)$

Where, n is the position of the term in the sequence.

Hence, opening the brackets,

  $f(x)=7+3n-3$

On solving,

  $f(x)=4+3n$

Hence, the equation for the given sequence is, $f(x)=4+3n$