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25,982 Does not exist 23,567 29,034
What is the common ratio here ?
dont know that
Can you determine the pattern here, 2,6,18,54,... ?
Nope, as 18 + 20 is not equal to 54. See, they are being multiplied by 3.
3>1 thus dne
The sum would only exist if the value of r were less than 1. The r here is 3.
Good. So, common ratio is 3. Now, formula for sum of infinite geometric series is a/(1-r) where r is common ratio and a is the first term First term is 2 common ratio is 3 so sum = 2/(1-3) = -1 (Thus does not exist as the sum is not negative here)
we already know the ratio is 3
a_i/a_j <1 for all I = j+1 this is necessary for convergence
i = j + 1
The tricks are already mentioned above by @zz0ck3r and @NoelGreco .
ohhhh ok so the correct answer would be is does not exist
Got it @chocodropa7 ?
You're welcome choco. Best of Luck
Oh sorry @mathslover my tablet is hard to read and I did not know you were walking him through it.
:) No problem zzr0ck3r :) Its fine and even good to see.