Answer:
The expression for the nth term is Tn = 8n -7
Step-by-step explanation:
Here, we are to find an expression for the nth term of the sequence.
Mathematically, the nth term of an arithmetic sequence can be expressed as;
Tn = a + (n-1)d
for T2, the equation is
a + d = 9
for T4, the equation is
a + 3d = 25
we can substitute the equation of T2 into T4 but we first need to rewrite T4
a + d + 2d = 25
9 + 2d = 25
2d = 25 -9
2d = 16
d = 16/2
d = 8
now since a + d = 9
a = 9-d
a = 9-8
a = 1
So the expression for the nth term would be;
1 + (n-1)8
1 + 8n - 8
= 8n -8+1
= 8n -7
<span>-8(n+3)+28=-5n-5
-8n-24+28=-5n-5
</span>-8n+4=-5n-5
-8n+4-4=-5n-5-4
-8n=-5n-9
-8n+5n=-5n+5n-9
-3n=-9
-3n/-3=-9/-3
n=3
n=3 is the correct answer
It would be 9!!!
Hope that helps!!!
$820.02
Step-by-step explanation:
Since the Taylor family had cash receipts of $876.16 and their excess of cash receipts above cash payments was $56.14.
The total cash payments for the month will be calculated as:
= $876.16 - $56.14
= $820.02
Answer:
27
Step-by-step explanation:
The width of the frame is 9. If Marcia needs it to be THREE times as long as it is wide, that would mean she would have to multiply 3 x 9 which equals 27