The third term in a sequence is 11.
The term-to-term rule is "take away 4".
Write an expression, in terms of n, for the nth term of the sequence.

a(n) =  a(n - 1) - 4, with a(1) = 19  

Step-by-step explanation:

If the rule for finding each new term is "take away 4," then this is an arithmetic sequence with first term a(1) (unknown) and third term 11.  The "common difference" is -4.

Then the formula for this arithmetic sequence is found as follows:

The third term is 11.  The previous (second) term is 4 greater, or 15.  The first term (coming before 15) is 19.

Thus, the general formula is

a(n) =  a(n - 1) - 4, with a(1) = 19  

Check:  Does a(1) come out to 19?  Is 19 - 4(1 - 1) = 19?  YES

Does a(2) come out to 15?  Is 19 - 4 = 15?  YES

Does a(3) come out to 11?  Is 15 - 4 = 11?  YES

saving = more money

step-by-step explanation:

if you have 100 bucks, and you want to buy a candy bar, even if you have one at home, if you choose not to buy it, you save.

~courtney

the above table 1 will calculate the population size (n) after a certain length of time (t). all you need to do is plug in the initial population number (no), the growth rate (r) and the length of time (t). the constant (e) is already entered into the equation. it stands for the base of the natural logarithms (approximately 2.71828). growth rate (r) and time (t) must be expressed in the same unit of time, such as years, days, hours or minutes. for humans, population growth rate is based on one year. if a population of people grew from 1000 to 1040 in one year, then the percent increase or annual growth rate is 40/1000 x 100 = 4 percent.

step-by-step explanation: