Consider the infinite geometric series sum from n equals 1 to infinity of minus 4 open parentheses 1 third close parentheses to the power of n minus 1 end exponent a write the first four terms of the series b does the series diverge or converge c if the series has a sum find the sum. C2 52y0 a1f2b 0kcudtya h wsio tf lt 6wyavrxep oldlbcnc o dablpld fr qidgyhvt asy arje csqe4r zv7exdfl b qmia cd4e h hwidtxh v oiln xfei bn sigt3e f ua5l2gie sb jrra 7 52dj worksheet by kuta software llc. We can find the sum of all finite geometric series but in the case of an infinite geometric series when the common ratio is greater than one the terms in the sequence will get larger and larger and if you add the larger numbers you wont get a final answer the only possible answer would be infinity so we dont deal with the common ratio . Does this infinite series converge if yes at what value please show work 3 4 3 8 3 16 thank you ahead of time
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