Consider the infinite sequence an=1,2,6,24,120... What function defines this sequence recursively?
1 answer:
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Answer:
1.5
Step-by-step explanation:
Note there is a common ratio between consecutive terms, that is
768 ÷ 1536 = 0.5
384 ÷ 768 = 0.5
192 ÷ 384 = 0.5
96 ÷ 192 = 0.5
This indicates that the terms form a geometric sequence with
= a
where a is the first term and r the common ratio
Here a = 1536 and r = 0.5, thus
= 1536 ×
= 1.5
Slope Intercept Form - y = mx + b
First you need the slope or m which in the first equation is 6 and in the second is 5
Next the y-intercept or b which in the first equation is -4 and in the second is -3
Here is an image of both equation plotted on a graph where the first equation is purple and the second is green
Hope this helps, if you need anything else i will edit it in :)
edit: The to lines intercept at the point (1,2)
Sorry, i wasn't completely sure what you needed i haven't done this in a while. If you still need more, I'll try to help.
