on monday he brewed i bottle of tonic tuesday he brewed 4 bottles, wed he brewed 9 and thursday 16. how many bottles did he brew on friday?

see above.

http://www.jiskha.com/display.cgi?id=1223587501

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To find out how many bottles he brewed on Friday, we need to look for a pattern in the numbers.

On Monday, he brewed 1 bottle.
On Tuesday, he brewed 4 bottles (3 more than Monday).
On Wednesday, he brewed 9 bottles (5 more than Tuesday).
On Thursday, he brewed 16 bottles (7 more than Wednesday).

From this pattern, we can observe that the number of bottles he brews each day increases by 2 compared to the previous day.

So, to find out how many bottles he brewed on Friday, we can continue the pattern:

On Friday, he brewed 16 + 2 = 18 bottles.

Therefore, he brewed 18 bottles on Friday.