Based off of the first digit in a two-number value like 50 means there's 5 tens.
Certain sequences (not all) can be defined (expressed) in a "recursive" form. <span>
In a <span>recursive formula, </span>each term is defined as a function of its preceding term(s). <span>
[Each term is found by doing something to the term(s) immediately in front of that term.] </span></span>
A recursive formula designates the starting term,<span><span> a</span>1</span>, and the nth term of the sequence, <span>an</span> , as an expression containing the previous term (the term before it), <span>an-1</span>.
<span><span>The process of </span>recursion<span> can be thought of as climbing a ladder.
To get to the third rung, you must step on the second rung. Each rung on the ladder depends upon stepping on the rung below it.</span><span>You start on the first rung of the ladder. </span><span>a1</span>
<span>From the first rung, you move to the second rung. </span><span>a<span>2
</span> a2</span> = <span>a1 + "step up"
</span><span>From the second rung, you move to the third rung. </span><span>a3</span>
<span> a3 = a2 + "step up"</span>
<span><span>If you are on the<span> n</span>th rung, you must have stepped on the n-1st rung.</span> <span>an = a<span>n-1</span> + "step up"</span></span></span><span><span>Notation:<span> Recursive forms work with the term(s) immediately in front of the term being examined. The table at the right shows that there are many options as to how this relationship may be expressed in </span>notations.<span>A recursive formula is written with two parts: a statement of the </span>first term<span> along with a statement of the </span>formula relating successive terms.The statements below are all naming the same sequence:</span><span><span>Given TermTerm in front
of Given Term</span><span>a4a3</span><span>ana<span>n-1</span></span><span>a<span>n+1</span><span>an</span></span><span><span>a<span>n+4</span></span><span>a<span>n+3</span></span></span><span><span><span>f </span>(6)</span><span><span>f </span>(5)</span></span><span><span><span>f </span>(n)</span><span><span>f </span>(n-1)</span></span><span><span><span>f </span>(n+1)</span><span><span>f </span>(n)</span></span></span></span>
<span><span> Sequence: {10, 15, 20, 25, 30, 35, ...}. </span>Find a recursive formula.
This example is an arithmetic sequence </span>(the same number, 5, is added to each term to get to the next term).
Answer:
(a) The probability is 9.49%
(b) The probability is 38.28%
Step-by-step explanation:
The probability that a failure is due to induced substance is calculated as a multiplication as:
(13%) * (73%) = 9.49%
Where 13% is the percentage of heart failures that are due outside factors and 73% is the percentage of outside factors that are due induced substances.
On the other hand, the probability that a failure is due to disease or infection is the sum of the probability that a failure is due to disease and the probability that a failure is due to infection.
Then, the probability that a failure is due to disease is calculated as:
(87%) * (27%) = 23.49%
Where 87% is the percentage of heart failures that are due natural factors and 27% is the percentage of natural factors that are due disease.
At the same way, the probability that a failure is due to infection is calculated as:
(87%) * (17%) = 14.79%
So, the probability that a failure is due to disease or infection is:
23.49% + 14.79% = 38.28%
Answer:
18i, -7-i, -6+18i
Step-by-step explanation:
1. √-324
first take out the negative as √-1=i
√-324= i√324
324 =2*162
324=2*2*81
324=2*2*9*9
i√324=i√2*2*9*9= i* 2*9= 18i
3.
-4+7i-3-8i combine like terms
-4-3 -8i+7i = -7-i
5.
(1+5i)(4-2i) distribute
1*4 -1*2i +5i*4 -5i*(-2i) multiply
4 -2i +20i +10i² but i²= -1 so
4 -2i +20i -10 combine like terms
-6 +18i
Answer:
256
Step-by-step explanation:
sum of the first n odd number is n^2
if we want to find the sum of of 1 thru 31
to find out how many numbers that is
(1+31)/2 = 32/2 =16
there are 16 numbers
n^2 =16^2 =256
