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bhuvna789456

The fourth term of geometric sequence is 24.

Step-by-step explanation:

  • First term of a geometric sequence, a = 3.
  • The ratio, r = 2.
  • The formula to find nth term is, nth term = [tex]ar^{n-1}[/tex]  

To find the 4th term of the sequence,

Put n=4,

4th term = [tex]3\times2^{4-1}[/tex]

⇒ [tex]3\times2^{3}[/tex]

⇒ 3 [tex]\times[/tex] 8

⇒ 24

∴ Fourth term = 24.

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