In
order to solve for a nth term in an arithmetic sequence, we use the formula
written as:<span>
an = a1 + (n-1)d
where an is the nth term, a1 is the first value
in the sequence, n is the term position and d is the common difference.
First, we need to calculate for d from the given
values above.
<span>a3 = 20.5 and a8 = 13
</span>
an = a1 + (n-1)d
20.5 = a1 + (3-1)d
</span>an = a1 + (n-1)d
13 = a1 + (8-1)d
<span>
a1 = 23.5
d = -1.5
The 11th term is calculated as follows:
a11 = a1 + (n-1)d
a11= 23.5 + (11-1)(-1.5)
a11 =
8.5</span>
Answer:
27
Step-by-step explanation:
⅙ × 54 = ⅓ × x
9 = x/3
x = 27
Answer:
5 yards.
Step-by-step explanation:
5 yards = 180 inches
25% of $80=$20
$80-$20=$60 remaining after you purchased shorts
65% of %60=$39
Answer: Sandals cost $39.00
Answer:
71, 72, 73, 74 . for details, check below
Step-by-step explanation:
a) Let's assume that among the four consecutive numbers, the first one is x,
so, the four consecutive numbers should be:
- x
- x+1
- x+2
- x+3.
According to the question,
(x) + (x + 1) + (x + 2) + (x + 3) = 290
<h2>
b)</h2>
(x) + (x + 1) + (x + 2) + (x + 3) = 290
4x + 6 = 290
4x = 284
x = 284÷ 4
x = 71.
So, the numbers are,
71, 72, 73, 74
