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
Answer:
22.25 feet wide
Step-by-step explanation:
A = lw
400.5 = 18x
Divide 18 on both sides
22.25 = x
Answer:
a = 157.7536pi
Step-by-step explanation:
area = pi*circumference²
a = pi*12.56² = 157.7536*pi
however, if pi just equals 3.14:
probably around 495.346304
Answer:
£25185
Step-by-step explanation:
It depends on how many days are in your year. If it's a regular year, it's 365 days. If it's a leap year 366 days.
69 x 365 = 25185
69 x 366 = 25254
Answer:
2
Step-by-step explanation:
23/8 As a mixed number is 2 7/8
As a decimal, 2.875