Answer:
- an = 3(-2)^(n-1)
- 3, -6, 12, -24, 48
Step-by-step explanation:
These variable names, a1, r, are commonly used in relationship to geometric sequences. We assume you want the terms of a geometric sequence with these characteristics.
a1 is the first term. r is the ratio between terms, so is the factor to find the next term from the previous one.
a1 = 3 (given)
a2 = a1×r = 3×(-2) = -6
a3 = a2×r = (-6)(-2) = 12
a4 = a3×r = (12)(-2) = -24
a5 = a4×r = (-24)(-2) = 48
The first 5 terms are 3, -6, 12, -24, 48.
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The explicit formula for the terms of a geometric sequence is ...
an = a1×r^(n -1)
Using the given values of a1 and r, the explicit formula for this sequence is ...
an = 3(-2)^(n -1)
For this case we have that the total minutes spent in yoga classes last week was 165.
Subtracting the 45 minutes of the Saturday day we have:
Those 120 minutes were distributed in the weekly yoga classes
where each lasted 30 minutes.
So, 4 week yoga classes were held
ANswer:
4 week yoga classes were held
The first term of the sequence is already given to be 3. Use this value to obtain the second term.
a2 = 2(a1)^2 = 2(3)² = 18
Use the value of the second term to get the third term through the equation,
a3 = 2(a2)² = 2(18)² = 648
Thus, the answer to this item is letter B.
Answer:
8/9
Step-by-step explanation:
1 blue, 2 yellow, 7 red, 6 green, and 2 purple marbles = 18 marbles
The number that are not yellow = total - yellow
P( not yellow) = number that are not yellow / total
= (18-2) / 18
= 16/18
=8/9
Answer:
5760
Step-by-step explanation:
7200-20%=5760
