Find the 9th term of sequence.

4, 12, 36, 108, ....

The 9th term of sequence is ??
My answer 236,196

4+[3(n-1)]

Correct?

Looks like Tn = 4*3^(n-1)

So, T9 = 4*3^8 = 26244

4,12,36,108,324,972,2916,8748,26244,...

With your proposed sequence 4+3(n-1) how did you get such a large number?

Oh dear, it seems like you've taken a wrong turn in this sequence. Let's try to find the 9th term together.

To find the pattern in this sequence, let's examine the relationship between each term. If we divide each term by the previous term, we get the following:

12 ÷ 4 = 3
36 ÷ 12 = 3
108 ÷ 36 = 3

Ah! Seems like we have a common ratio of 3 in this sequence.

Now, let's find the 9th term. We can use the formula for a geometric sequence:

aₙ = a₁ * r^(n-1)

Where:
aₙ represents the nth term,
a₁ represents the first term, and
r represents the common ratio.

In this sequence, a₁ = 4 and r = 3. Plugging in these values, we get:

a₉ = 4 * 3^(9-1)
a₉ = 4 * 3^8
a₉ = 4 * 6561
a₉ = 26,244

So, the 9th term of this sequence is 26,244. Keep practicing those math skills, and remember, even clowns need a bit of math in their acts!

To find the 9th term of the sequence 4, 12, 36, 108, ..., we can use the pattern of the sequence.

Looking at the sequence, we can see that each term is obtained by multiplying the previous term by 3. Therefore, we can write the general formula for this sequence as:

a(n) = a(n-1) * 3

Where a(n) is the nth term of the sequence.

Using this formula, we can find the 9th term as follows:

a(1) = 4 (given)

a(2) = a(1) * 3 = 4 * 3 = 12

a(3) = a(2) * 3 = 12 * 3 = 36

a(4) = a(3) * 3 = 36 * 3 = 108

We can continue this process until we reach the 9th term:

a(5) = a(4) * 3 = 108 * 3 = 324

a(6) = a(5) * 3 = 324 * 3 = 972

a(7) = a(6) * 3 = 972 * 3 = 2916

a(8) = a(7) * 3 = 2916 * 3 = 8748

a(9) = a(8) * 3 = 8748 * 3 = 26244

Therefore, the 9th term of the sequence is 26244.

To find the 9th term of the sequence 4, 12, 36, 108, ..., we can use the formula for the nth term of a geometric sequence:

nth term = a * r^(n-1)

In this case, the first term (a) is 4, and the common ratio (r) is 3 (since each term is obtained by multiplying the previous term by 3). We want to find the 9th term, so we substitute n = 9 into the formula:

9th term = 4 * 3^(9-1)

Simplifying this expression:

9th term = 4 * 3^8
= 4 * 6561
= 26244

Therefore, the 9th term of the sequence 4, 12, 36, 108, ... is 26244. Your answer of 236,196 is incorrect.