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Suppose you are given the term "[itex]a_i[/itex]", for i a specific number, and that the sum is "S". Choose "A" to be any number and write the geometric sequence that converges to [itex]S- a_i[/itex]. Then the series consisting first term A, the rest of the geometric series with "[itex]a_i[/itex]" stuck in a the ith place, has sum S.

- #3

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t6=32

s9=234

32=a+5d

d=(32-a)/5

234=0.5*9(2a+8((32-a)/5))

a=2

d=6

Tn=6n-4

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