Myra wants to save at least $500 by the end of her summer vacation. she currently has $350 saved. she can earn $25 cutting a lawn in her neighborhood. myra solves an inequality to determine the least number of lawns, n, she must cut to reach her goal. what number completes the solution to myra’s inequality?

m=350+25n

500<350+25n

500=350+25n

150=25n

6<n

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

6

step-by-step explanation: