Let 
denote the <em>k</em>th term of the sequence. Then
where <em>d</em> is the common difference between consecutive terms in the sequence and <em>a</em>₁ is the first term.
The sum of the first <em>n</em> terms is
From the formula for , we get
So we have 
, and 
so that 
.
Then the <em>n</em>th term in the sequence is
Answer:
divide the interest amount by the product of the principal and time
Step-by-step explanation:
The simple interest formula is I = prt where I is the interest, p is the principal, r is the rate and t is the time (in years). Rewriting this formula so that r is the subject we get r = I / pt. Therefore the answer is divide the interest amount by the product of the principal and time.
Answer:
1071.79 yd³
Step-by-step explanation:
radius r = 16/2 = 8 yd
height = 16 yd
volume = (1/3)×πr²h
= (1/3)×3.14×8²×16
= 1071.79 yd³ (rounded to the nearest tenth)
Slope=rise/run
yintercept is where the line crosses the y axis
y=mx+B
m=slope
b=yint
intercept at -3
y=mx-3
pick a point
(5,0)
x=5,y=0
0=m(5)-3
add 3
3=5m
divide 5
3/5=m
slope=3/5
y int=-3
Answer:
32
Step-by-step explanation:
The sequence is going six numbers up each time. For example 2 plus six is 8. 8 plus six is 14. 14 plus six is 20 and so on.
