Express the first 10 terms of a sequence 2,5,8,11 in sigma notation

1 answer:

4 0

Answer

The first 10 terms of thjs sequence are 2, 5, 8, 11, 14, 17, 20, 23, 26, 29

Explanation:

You can notice that to get to the next term, you have to add 3.
So we add 3 every next term

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Suppose you mark n points on a circle, where n is a whole number greater than 1. The number of segments you can draw that connec

dezoksy [38]

Just subsitute 8 for n
1/2(8)^2-1/2(8)
1/2(64)-4
32-4
28
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7 0

3 years ago

What 1 thruogh 100 added up them divided

Marina CMI [18]

We can use the sum of an aritmetic sequence
the sum from n=1 to n=r when the first term is a1 and the nth term is an is
$S=\frac{n(a_1+a_n)}{2}$
first term is 1
last term is 100
there are 100 terms so n=100

so the sum is $S=\frac{100(1+100)}{2}$
$S=(50)(101)$
S=5050
now you want us to divide by 10
5050/10=505

fun fact, gauss (famous math guy) did this when he was younger, legend has it that he was assigned this as an in class assigment to kill time but gauss found a neat pattern, he noticed that adding the end terms wer giving the same sum, example, 100+1=101, 2+99=101, etc, so he just needed to find al the pairs and add them all up

answer is 505
the result is 505

5 0

2 years ago

If anyone could help me, it would be greatly appreciated!

Sav [38]

Answer: $x=65^{\circ}, y=65^{\circ}, z=65^{\circ}$

Step-by-step explanation:

All radii of a circle are congruent, so by the base angles theorem

z = y = (180-50)/2 = 65.

Also, angles x and y are inscribed in the same arc, and they are thus congruent, meaning x = 65.

7 0

1 year ago

Suppose that the probability of a baseball player getting a hit in an at-bat is 0.3089. If the player has 25 at-bats during a we

klio [65]

Answer:

$P(X>9) = 0.3593$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=25, p=0.3089)$