How do you find the formula for the nth term of a given sequence?

Step 1: The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula.

What is the next term of the sequence 6 12/24 48 solution?

The pattern is to multiply a term by -2 to get the next term. So the answer is 96 and -192.

What is the nth rule of the geometric sequence 6 12 24?

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 2 gives the next term. In other words, an=a1⋅rn−1 a n = a 1 ⋅ r n – 1 . This is the form of a geometric sequence.

What is the next number in the sequence 6 12 24?

Because 6+6=12, 12+12=24, 24+24=48, 48+48=96, 96+96=192. Hence 6,12,24,48,96,192.

How do you find the nth term of a geometric sequence?

Since each term after the first is the product of the preceding term and 2 (a constant which can be found by dividing any term by its predecessor and is called the common ratio, r), this is a geometric sequence. In general, if the nth term of a geometric sequence is represented by an, then

What is the geometric sequence of 3 6 12 12 12?

Popular Problems. Precalculus. Identify the Sequence 3 , 6 , 12 , 24 , 48. 3 3 , 6 6 , 12 12 , 24 24 , 48 48. This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 2 2 gives the next term. In other words, an = a1 ⋅rn−1 a n = a 1 ⋅ r n – 1.

How do you find the nth term in terms of R?

So, for example, the 4th term a4 will be r ×a3, the 3rd term a3 = r ×a2, and so on. From this we can get a general formula for the nth term in terms of r and the first term a1:

What is the common ratio of the sequence 48 and 96?

Common ratio can be found by dividing any two successive numbers (latter divided by previous). In this case the common ratio is ( 6/3 ) = 2. So the next number will be 48*2 = 96. This is a simple geometric sequence with common ratio 2. So the next number in the sequence after number 48 is 96. , Know about God, religion and behaviors. and, so on.