finding an equation from a table

Algebra
Tutor: None Selected Time limit: 1 Day

a table of x= 1, 2, 3, 4, 5 and y= 1, 2, 4, 8. I need to find the equation to this

Oct 12th, 2015

Thank you for the opportunity to help you with your question!

Given

x     y

1     1

2     2

3      4

4      8     and so on

equation to represent this table is,   y(x) = (sum of all y values from 1 to x-1) + 1

or, y(x) = (y(1) + y(2) + .......+ y(x-1)) + 1

consider x = 3,

y(3) = (y(1) + y(2)) + 1

here, y(1) = 1 and y(2) = 2

so, y(3) = (1+2) + 1   =  4            this value is ame as the given value, hence equation is correct for x = 3

consider x = 4,

y(4) = (y(1) + y(2) + y(3) ) + 1

y(4) = (1+ 2 + 3 ) + 1  = 8          this value is ame as the given value, hence equation is correct for x = 4

in a similar way, this equation will be correct for all further values of x.

so, the final equation is :   y(x) = (y(1) + y(2) + .......+ y(x-1)) + 1

Please let me know if you need any clarification. I'm always happy to answer your questions. Kindly best this answer if it has helped you.
Oct 12th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Oct 12th, 2015
...
Oct 12th, 2015
May 26th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer