Hello from MrBillDoesMath!
Answer:
1/64
Discussion:
(2^3) ^ (-2) => 2^3 = 2 * 2 *2 = 8
= 8^(-2) => negative exp gives reciprocal of time to same
power
= ( /8)^2 => 8*8 = 64
= 1/64
NOTE; the answer shown selected in the diagram is incorrect as the correct result is a positive, NOT negative, number. The second choice is the correct one.
Thank you,
MrB
Answer:
1/4
Step-by-step explanation:
there is 3 black marbles and 3+4+5=12 total marbles. 3/12=1/4
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.