The 10th term of a geometric progression is 1024 and the common ratio is 2. What is the first term? *

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The 10th term of a geometric progression is 1024 and the common ratio is 2. What is the first term? *

Answer:

2

Step-by-step explanation:

According to the definition of geometric progression.
    an= a1 · q n-1
an means the n-th term, q means the common ration.
from the meaning of the question
a10 = a1 · q n-1              
{make n=10}
1024= a1 · 2 10-1
1024 a1 · 2 9                   {subtraction}

1024= a1 · 512                  {2 9 = 512 · 210= 1024}
a1= 1024/512=2              
{division}

hence the answer is 2

i hope it helps:)


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