To get to the next term in this sequence, multiply the last term by 2.5. What is the value of the next term?
1 answer:
<h3><u>Question:</u></h3>
"To get the next term in the sequence,multiply the last term by 2.5 . What is the value of the next term?
1 , 2.5 , 6.25, 15.625, ..."
<h3><u>Answer:</u></h3>The value of the next term is 39.0625
<h3><u>Solution:</u></h3>Given that the series is 1 , 2.5 , 6.25, 15.625
When we divide 2nd term by first we get 2.5 , similarly for other successive number when we divide them with their preceding number we get a value of 2.5
So, all the successive numbers are 2.5 times of their previous number
So the value of next term is 39.0625
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By reading the above statement, we can find that there are two variables and each variable has 2 categories. The variables and their categories are:
1) Class Number
This variable is further divided into 2 categories i.e. Class 9th and Class 10th.
2) Participation in Extracurricular activities
This variable is further divided into 2 categories based on if students participated or not.
Part b)
Set up and fill 2 way table.
Since, we have 2 variables and each variable has 2 categories the number of data cells will be 2 x 2 = 4 cells
There are total 100 students. 40 students are in class 10th. This means 60 students are in class 9th.Out of 40 students in class 10th, 18 students participate in at least one extracurricular activity. So remaining 22 students do not participate. 32 students from class 9th participate in extracurricular activities, this means the remaining 28 students do not participate. Based on this data, we can fill up the table as shown below