6 7/12 I hope this helps ya out
<span>my answer to you would be that for this kind of a sequence, there is a fixed way of finding the nth term value
let's get these basics straight first:
1) Un= the nth term value
for eg. U1 = 1st term value
2) a = first term
3) d = difference
Ok now the first step to finding the nth term is finding the constant difference
in the example that you gave the constant difference is 1.5
ie 1.5 is being added on each time
now the fixed rule for finding the nth term is :
Un = a + d(n-1)
why?
because let's take a common example of a linear sequence, a sequence with a constant first term ( so called because it forms a line when drawn in a graph):
first term is a so,
a, a+d, a+2d, a+3d......a(n-1)d
(because the coefficient of d is one less than the term number)
so putting this into your q:
a = 5.5
d=1.5
Un=a + d (n-1)
Un=5.5 + 1.5(n-1)
Un=5.5 + 1.5n - 1.5
Un=4+ 1.5n
there you go it works...
for other types like quadratic cubic and geometric progression, its a totally different story
</span>
Answer:
700 + 25m = 1000 is the correct equation
Step-by-step explanation:
In this question, we are tasked with finding the equation that represents the number of months m which in which megan will have $1000 in her account.
Now for her daughter, there are two kinds of ways she generates money for he account. The $700 see money her mother gave her and the $25 she has per month.
Thus after m months, the total she would have raised from the $25 each would be $25m
Now, we add this to the $700 see money and equate to $1000
Mathematically we have;
700 + 25m = 1,000
