Question

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Find out the 12th term in the geometric progression
2, 4, 8, 16...​

Answer 1

Answer:

4096

Step-by-step explanation:

2 pe power 3*2 pe power 3* 2 pe power 3*2 pe power 3=8*8*8*8=4096

Answer 2

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Find out the 12th term in the geometric progression 2, 4, 8, 16...

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Given:-

• First term (a) = 2
• common ratio = (n+1)/nth term = 4/2 = 2

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To Find:-

The 12th term of the geometric progression

$= \sf \: ar^{n - 1}$

$= \sf \: a {r}^{12 - 1}$

$= \sf \:a {r}^{11}$

$= \sf \: 2 \times {2}^{11}$

$= \sf \: 2 \times 2048$

$= \sf \: 4096$

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Therefore the 12th term of the geometric progression is 4096.

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