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6. Write a formula to represent the nth term of the sequence: 3, 6, 12, 24, 48, 96,...​

Sagot :

Given :

The sequence is given as : 3, 6, 12, 24, 48, 96,...​

To Find :

A formula to represent the nth term of the given sequence.

Solution :

Breaking down each term we get :

3 = 3 × 2⁰       1 - term

6 = 3 × 2¹        2 - term

12 = 3 × 2²      3 - term

24 = 3 × 2³     4 - term

48 = 3 × 2⁴      5 - term

From above observation we can say that n th term is given by 3 × 2ⁿ⁻¹ .

Therefore, the nth them of the sequence is given by ( 3 × 2ⁿ⁻¹ ) .

Answer:

Step-by-step explanation:

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