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The first term is 2 and the 20th term is 1048576 .
<u>Step-by-step explanation:</u>
Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:
We know that Sum of a GP is :
⇒
So ,Sum of first 12 terms is :
⇒
⇒
⇒
⇒
Now , nth term of a GP is
⇒
So , 20th term is :
⇒
⇒
⇒
Therefore , the first term is 2 and the 20th term is 1048576 .