Question

What is the term-to-term rule for this sequence?
4, 12, 36, 108, 324​

Answer 1

Answer:

ITZ SEQUENCE IS THAT THE NUMBERS ARE MULTIPLIED BY 3 ..

AS 4 × 3 = 12

AS 4 × 3 = 1212× 3 = 36 ND SO ON.

AS 4 × 3 = 1212× 3 = 36 ND SO ON..

AS 4 × 3 = 1212× 3 = 36 ND SO ON....

AS 4 × 3 = 1212× 3 = 36 ND SO ON....HOPE IT HELPS....

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Answer 2

Given:

A series of numbers 4, 12, 36, 108, 324​.

To Find:

The term to term rule used in the above series is?

Solution:

The given problem can be solved by developing a common logic between every term.

1. The given series is 4, 12, 36, 108, 324​.

2. The second term in the series is obtained as,

=> Second term = First term x 3 = 4 x 3 = 12.

3. The third term of the series is obtained as,

=>Third term = Second term x 3 = 12 x 3 = 36.

4. The fourth term of the series is obtained as,

=>Fourth term = Third term x 3 = 36 x 3 = 108.

5. The fifth term of the series is obtained as,

=>Fifth term = Fourth term x 3 = 108 x 3 = 324.

6. The term to term rule used in this sequence is:

=> nth term = (n-1)th term x 3.

Therefore, the term to term rule is nth term = [(n-1)th] term x 3.