If there is a positive correlation between number of years studying math and shoe size (for children), does that prove that lar
1 answer:
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Answer:
n=10.
Step-by-step explanation:
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=
-
=
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=
45-3n-3=2n-8
45-3+8=5n
n=50/5=10
We know the terms in this geometric sequence are 3, -3/4, 3/16 and so on.
now.. what's the "r" or common ratio? well, in a geometric sequence, to get the next term's value you multiply by "r", therefore, if you divide any of those values, by the value before it, the quotient will be, yes, you guessed it, "r".
namely say a, a*b.... now (a*b)/a is just b, the quotient is the value you used as multiplier.
any other two pair of values will spit out the same "r".
now, the Sum of a geometric sequence reaches a limit or point, that is converges, only if the value of "r" is a fraction and more than -1 or less than 1, negative or positive.
or in short, if | r | < 1.
now, in this case, -1/4 is indeed more than -1 and less than 0, therefore, the Sum of the sequence is convergent, it meets at a limit.
now.. what's the "r" or common ratio? well, in a geometric sequence, to get the next term's value you multiply by "r", therefore, if you divide any of those values, by the value before it, the quotient will be, yes, you guessed it, "r".
namely say a, a*b.... now (a*b)/a is just b, the quotient is the value you used as multiplier.
any other two pair of values will spit out the same "r".
now, the Sum of a geometric sequence reaches a limit or point, that is converges, only if the value of "r" is a fraction and more than -1 or less than 1, negative or positive.
or in short, if | r | < 1.
now, in this case, -1/4 is indeed more than -1 and less than 0, therefore, the Sum of the sequence is convergent, it meets at a limit.
Answer:
Step-by-step explanation:
I can't use the same graph that you have supplied, but I can show you what the answer looks like. Just use two points from my answer that will fit on your graph. Suggest points
Red line: (7,0) and (3,6)
Blue line: (3,0) and (0,3)
Answer:
The original number was 54.5.
Step-by-step explanation:
If a number is increased by 2.8%, then it is 102.8% of it's original number.
In mathematics, "of" in virtually all cases means "multiplied by".
Therefore, we do the opposite:
1. Convert to a decimal.
102.8% = 1.028
2. Divide by the decimal.
3. Round it to the nearest tenth.
54.47 rounds to 54.5.