We can figure this out using what's called an explicit formula.

n is the term we are looking for.
f(1) is the first term of the sequence, which in this case, is 100.
d is the common difference, which in this case, is -8.
f(n) = 100 - 8(n - 1)
f(n) = 100 - 8n + 8
f(n) = 108 - 8n
Now, we can input 50 for n and solve.
f(50) = 108 - 8(50)
f(50) = 108 - 400
f(50) = -292
The 50th term in this sequence is -292.
A fraction represents division
9514 1404 393
Answer:
(b) 5 2/5
Step-by-step explanation:
You can figure this one by estimating. The denominator on the right is a little more than double the numerator. Then the denominator on the left (x) will be a little more than double the numerator. Double is 2(2 1/4) = 4 1/2.
The closest reasonable value is 5 2/5.
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If you want to work this out in detail, you will see that ...
x = (2 1/4(3 3/5)/(1 1/2)
x = (9/4)(18/5)(2/3) = (9·18·2)/(4·5·3) = 3·18/10 = 5.4 = 5 2/5
Answer:
B. -5120
Step-by-step explanation:
a6 = -5 × 4^(6-1)
= -5 × 4⁵
= -5120
We need base
Apply Pythagorean theorem
- B²=H²-P²
- B²=135²-100²
- B²=18225-10000
- B²=8225
- B=90.697ft
- B=90.7ft