One us dollar is currently worth 84.1 japanese yen (¥). if you exchange ¥4,205 for us dollars, how much will you have?

1/ 84.1 = x / 42051 dollar to 84.1 yen = x dollars to 4205 yen
cross multiply because this is a proportion
(84.1)(x) = (1)(4205)
84.1x = 4205
x = 4205 / 84.1
x = 50so 4205 yen = $ 50

Answer might be d.i think

, and

for

step-by-step explanation:

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

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

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