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).
Well turn 60 into a decimal 0.60 and then multiply by 25 which is 15
remember of in math means multiply
Answer:
True
Step-by-step explanation:
Point estimation of a population parameter provides an estimate of a single value calculated from the sample that is likely to be close to its value to the unknown parameter. Itis to be noted that a point estimate will not in general be equal to the population parameter as the random sample used is one of the many possible samples which could be chosen from the population.
For example, in estimation, we may estimate the mean and the variance of a population by computing the mean and the variance of the sample drawn from a population.
Answer:
just add a zero
Step-by-step explanation:
because if you do all the work it's just a waste of time when you could get the same answer by just adding a zero.
Answer: B is (6,7)
Step-by-step explanation:
Put the two points like an equation with point A on top and midpoint M on the bottom like this:
A (-4,8)
M (1,7.5)
Now, look at the difference between the x points of point A and midpoint M. The difference is +5. Do the same for the y points between point A and M. The difference is -0.5. From point M, add 5 to 1 (which is the x point of M) and subtract 0.5 from 7.5 (which is the y point of M). Now you have (6,7) which is point B. I hope this helped!! :)
