The quantity which most useful completes the series below is:

No issue. breaking the trick pattern down even more reveals that it is +1(4), + 3(4), +9(4), +27(4)… that may painstakingly be rewritten as +3^0(4), +3^1(4), +3^2(4), +3^3(4)… meaning to 161 I/you need certainly to include 3^4(4) that is 324, therefore 324 +161 = 485. cheers.

may be the series 1, 1/2, 5, 10, 1/2, 18… orrr 1 1/2, 5, 10 1/2, 18…?

Glance at the series in this manner:

the numerator is an easier series 3, 10, 21, 36.

and also for the next term, 19.

and also for the next term, 324 (108×3).

Supply(s): confusion

The 2nd series,

I have got faith the respond is: 55/2 or 27.5 it quite is due to the truth is you put the show over 2 the show is: 3/2, 10/2, 21/2, 36/2. between your first and second: +7/2 between your second and nil.33: + 11/2 between your 0.33 and 4th: + 15/2 Then between your last and also the respond : +19/2

familiarity with key habits

2nd edit: ah. fine. There is a pattern in the pattern… like very first you add 3.5, then 5.5, then 7.5… therefore after 18, you would include 9.5. Exactly what would you get? (and yes, you might be proper, however you do not have to imagine…)

Realize that getting the terms, you retain incorporating 4, 12, 36, 108

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