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Answer: 2,125,764
Step-by-step explanation:
You can use the equation y=ar^n-1 to find the 13th term where a is the starting term, r is the common ratio, and n is the nth term
The next number is 12/4=3 times greater than the first. So if this sequence is a geometric one, then the next term must be 12*3=36. This is true, and the next term must be 36*3=108, which is also true. Therefore this sequence is a geometric one and its common ratio is 3. Therefore the equation is:
y=4*3^(n-1)
Substitute 13 for n:
y=4*3^(13-1)
y=4*3^12
y=2125764
Therefore, the 13th term of this geometric sequence is 2,125,764
Thats gonna be region A.
lets check...this point is in that region (-1,3)
now we sub into our equations and see if it is true
y < = -5/2x + 4 y > = -1/2x - 2
3 < = -5/2(-1) + 4 3 > = -1/2(-1) - 2
3 < = 5/2 + 4 3 > = 1/2 - 2
3 < = 5/2 + 8/2 3 > = 1/2 - 4/2
3 < = 13/2 3 > = - 3/2
3 < = 6 1/2...true 3 > = - 1 1/2...true
so it is region A...100% sure
Answer:
a₁ = 23/100 and r = 1/100
S = 23/99
Step-by-step explanation:
The sum of an infinite geometric series is:
S = a₁ / (1 − r)
where a₁ is the first term of the series and r is the common ratio.
0.23 repeating is 0.232323... To convert this to a fraction using the above equation, first we must write this as a series:
0.23 repeating = 0.23 + 0.0023 + 0.000023 + ...
The first term is 0.23, and the common ratio is 0.01.
Therefore, a₁ = 0.23 and r = 0.01. Or, in fraction form, a₁ = 23/100 and r = 1/100.
Plugging this into the equation, we can convert 0.232323... to a fraction.
S = (23/100) / (1 − 1/100)
S = (23/100) / (99/100)
S = 23/99
Answer: 8 dinos
Step-by-step explanation:
there are 4 boxes and 5 handfuls in each. divide 160 by 4 and divide that, 40, by 5 to get 8