Answer:
The 13th term is 81<em>x</em> + 59.
Step-by-step explanation:
We are given the arithmetic sequence:
And we want to find the 13th term.
Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:
Find the common difference by subtracting the first term from the second:
Distribute:
Combine like terms. Hence:
The common difference is (7<em>x</em> + 5).
To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:
Where <em>a</em> is the initial term and <em>d</em> is the common difference.
The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:
To find the 13th term, let <em>n</em> = 13. Hence:
Simplify:
The 13th term is 81<em>x</em> + 59.
Answer: +23
Step-by-step explanation:
It would be 23 because the difference between -19 and 4 is 23
9514 1404 393
Answer:
2) 1/3
Step-by-step explanation:
The repeating decimal can be converted to a fraction by multiplying it by 10^n and subtracting the original value. n = number of repeating digits. This process cancels all of the repeating digits, so you can find the equivalent fraction.
_____
Your calculator can help you answer this:
1/5 = 0.2
1/3 = 0.333.... (repeating) . . . . the number you're looking for
3/10 = 0.3
3/5 = 0.6
524 cm cubed
Explanation: 4/3 x pi x 5cubed = 523.599cm cubed rounded to 524cm cubed
Answer:
32 feet of fence
Step-by-step explanation:
The garden is a square, so the length and width are equal.
A = L x W
W = L
A = W²
A = 64
W² = 64
W = √64 = ±8 -- (-8) would be extraneous
W = 8 ft
L = 8ft
Since she is putting the fence around the garden, she needs to find the perimeter.
P = 2L + 2W
P = 2(8) + 2(8)
P = 16 + 16
P = 32 ft
32 feet of fence
