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How do you find the 20th term of the pattern 3 6 12 24?

The pattern given is a geometric sequence where each term is multiplied by 2 to get the next term. To find the 20th term, we can use the formula for the nth term of a geometric sequence: ( a_n = a_1 \cdot r^{(n-1)} ), where ( a_1 ) is the first term (3) and ( r ) is the common ratio (2). Thus, the 20th term is calculated as ( a_{20} = 3 \cdot 2^{19} ). Evaluating this gives ( a_{20} = 3 \cdot 524288 = 1572864 ).


Is 3 6 12 24 an arithmetic sequence?

No, the sequence 3, 6, 12, 24 is not an arithmetic sequence. In an arithmetic sequence, the difference between consecutive terms is constant. Here, the differences are 3 (6-3), 6 (12-6), and 12 (24-12), which are not the same. This sequence is actually a geometric sequence, as each term is multiplied by 2 to get the next term.


Nth term of the sequence 12 7 2 -3 .. I know what the next numbers in the sequence are but what is the expression for the nth term?

12 - 5(n-1)


What is the formula for the nth term for the sequence 0-3-6-9-12?

The sequence 0, 3, 6, 9, 12 is an arithmetic sequence where the first term is 0 and the common difference is 3. The formula for the nth term can be expressed as ( a_n = 3(n - 1) ) or simply ( a_n = 3n - 3 ). This formula generates the nth term by multiplying the term's position (n) by 3 and adjusting for the starting point of the sequence.


What is descending geometric sequence?

A geometric sequence is a sequence where each term is a constant multiple of the preceding term. This constant multiplying factor is called the common ratio and may have any real value. If the common ratio is greater than 0 but less than 1 then this produces a descending geometric sequence. EXAMPLE : Consider the sequence : 12, 6, 3, 1.5, 0.75, 0.375,...... Each term is half the preceding term. The common ratio is therefore ½ The sequence can be written 12, 12(½), 12(½)2, 12(½)3, 12(½)4, 12(½)5,.....


What is the answer to 4 12 36 108 324 sequence?

The sequence 4, 12, 36, 108, 324 follows a pattern where each term is multiplied by a consecutive integer factor: 4 × 3 = 12, 12 × 3 = 36, 36 × 3 = 108, and 108 × 3 = 324. Additionally, each term can be seen as multiplying the previous term by 3, which is consistent throughout. Thus, the next term in the sequence would be 324 × 3 = 972.


What is the 20th term of 16 13 10 7 4 1 etc?

The sequence is Un = 19 - 3n so the 20th term is 19 - 3*20 = 19 - 60 = -41


What is the value of the 11th term in the sequence 3 6 12 24?

It is: -3072


What is the value of the 11th term in the sequence -3 -6 -12 -24 ...?

It is: -3072


What is the nth term of the sequence of 3 6 9 12?

t(n) = 3*n


What is the nth term for sequence 3 12 27 64 75 108?

There is no pattern


What is the 33rd term of this arithmetic sequence 12 7 2 -3 -8 and?

It is -148.