Chapter 8.2, Problem 22PPS

To determine

To Write: The equation for the given sequence and to find the indicated term.

  $11,22,33,\mathrm{44...};$ 25^th term.

Answer to Problem 22PPS

The equation that describes the sequence is $t=11n$ and the 25^th term is 275.

Explanation of Solution

Given information:

Term number (n)	1	2	3	4
Term (t)	11	22	33	44

Calculation:

The terms have a common difference of 11. The term is11 times the term number. So the equation that describes the sequence is $t=11n$ ..

Use the equation to find the 25^th term. Let $n=25$

  $t=11n$

Write the equation

  $t=11\times 25$

Substitute the value of n i.e. 25

  $t=275$

Multiply 11 and 25 i.e.275

Thus the 25^th term is 275.