[quote=euclid2;186568]given the patterns
a) 4,8,12,16,20,24(going up by 4)
given the patterns
a) 4,8,12,16,20,24(going up by 4)
b) 3,9,27,81,243,729(* by 3)
c) 144,121,100,81,64,49(-21,-21,-19...)
d) 3,-12,48,-192,728,-3072(*-4)
Find an expression for the general term for the sequences listed above(one general term for each sequence)
Can you please explain how to do it aswell
thanks
Hello, euclid2!
Given the patterns:
a) 4, 8, 12, 16, 20, 24, ...
b) 3, 9, 27, 81, 243, 729, ...
c) 144, 121, 100, 81, 64, 49, ...
d) 3, -12, 48, -192, 728, -3072, ...
Find an expression for the general term for the sequences.
We must examine the pattern and create a function in terms of
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
We see that is always:
Therefore: .
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
We see that is always:
Therefore: .
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
We see that is always:
Therefore: .
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
We see that is always:
. .
Therefore: .