Agame uses the two spinners shown in the image. what is the probability that you will spin "east" and "1"

The probability that you will spin "East" and "1" is:

As we know that the spinning of the first wheel is independent of the outcome of the spinning of the second wheel.

Let A denote the event of East.

B denote the event of 1 .

Let P denote the probability of an event.

A∩B denote the event of East and 1.

We are asked to find P(A∩B)

We know that:

    P(A∩B)=P(A)×P(B)

( When the events A and B are independent )

From the image we have:

P(A)=1/4

and P(B)=3/8

( Since there are 3 '1' in the spinner out of total 8 outcomes)

Hence we get:

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for