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WITCHER [35]
3 years ago
15

Find the first four terms of the sequence An=2a n-1,where a1=3

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
3 0

The first four terms of the sequence are 3 , 6 , 12 , 24

Step-by-step explanation:

We need to find the first four terms of the sequence a_{n}=2a_{n-1}

where a_{1}=3 to find them do that

  • Substitute n by 2 in the rule to find a_{2}
  • Substitute n by 3 in the rule to find a_{3}
  • Substitute n by 4 in the rule to find a_{4}

∵ a_{n}=2a_{n-1}

- Substitute n by 2 to find the 2nd term

∴ a_{2}=2a_{2-1}

∴ a_{2}=2a_{1}

∵ a_{1}=3

∴ a_{2}=2(3)

∴ a_{2}=6

- Substitute n by 3 to find the 3rd term

∴ a_{3}=2a_{3-1}

∴ a_{3}=2a_{2}

∵ a_{2}=6

∴ a_{3}=2(6)

∴ a_{3}=12

- Substitute n by 4 to find the 4th term

∴ a_{4}=2a_{4-1}

∴ a_{4}=2a_{3}

∵ a_{3}=12

∴ a_{4}=2(12)

∴ a_{4}=24

The first four terms of the sequence are 3 , 6 , 12 , 24

Learn more:

You can learn more about the sequences in brainly.com/question/1522572

#LearnwithBrainly

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