Write an algebraic expression to descibe the nth term in each row
1 1 1 1 1 1 1
- - - - - - -
4 16 64 256 512 2048 8192
/ \ / \ / \ / \ / \ / \ /
5 5 5 5 5 5
- - - - - -
16 64 256 512 2048 8192
Sorry if it isnt accurate enough.. but it's the idea that counts :P HELP ASAP
Note that each term is 1/4 the previous one.
Tn = (1/4)^n or 1/4^n
On the next, it's the same ratio, but T1 = 5/16
Tn = (5/4)*1/4^n
To find the algebraic expression for the nth term in each row of the given pattern, we need to look for a pattern or relationship among the numbers. Let's analyze each row separately.
Row 1: The numerator stays constant at 1, and the denominator increases by a factor of 4 each time.
Row 2: Both the numerator and denominator stay constant at 5.
From these observations, we can determine the following expressions for each row:
Row 1: The nth term can be expressed as 1 / (4^(n-1)).
Row 2: The nth term can be expressed as 5 / 1.
So, the algebraic expressions for the nth term in each row are:
Row 1: 1 / (4^(n-1))
Row 2: 5
In general, to find the algebraic expression for the nth term in a pattern, it is important to observe the relationship or pattern among the given numbers and identify any recurring factors or constants that relate to the position or sequence of the terms. By analyzing these patterns, we can create the desired algebraic expression.