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What is the 12th term in a geometric sequence that has a first term of 6 and a common ratio of 3?
It is 1062882.
How do you find the nth term in a sequence?
Finding the nth term is much simpler than it seems. For example, say you had the sequence: 1,4,7,10,13,16 Sequence 1 First we find the difference between the numbers. 1 (3) 4 (3) 7 (3) 10 (3) 13 (3) 16 The difference is the same: 3. So the start of are formula will be 3n. If it was 3n, the sequence would be 3,6,9,12,15,18 Sequence 2 But this is not our sequence. Notice that each number on sequence 2 is 2 more than sequence 1. this means are final formula will be: 3n+1 Test it out, it works!
What is the sum of first six terms of a sequence whose nth term is 8 - n?
nth term is 8 - n. an = 8 - n, so the sequence is {7, 6, 5, 4, 3, 2,...} (this is a decreasing sequence since the successor term is smaller than the nth term). So, the sum of first six terms of the sequence is 27.
What is the nth term of the arithmetic sequence 7 5 3 1?
To find the nth term of an arithmetic sequence, you need to first identify the common difference between consecutive terms. In this case, the common difference is -2 (subtract 2 from each term to get the next term). The formula to find the nth term of an arithmetic sequence is: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference. Plugging in the values from the sequence (a_1=7, d=-2), the nth term formula becomes: a_n = 7 + (n-1)(-2) = 9 - 2n.
How do you write 3 to the power of n plus 2 plus 3 to the power of n as a single term?
3^n+2+3^n = 6^n+2 *'to the power of' can be represented with this symbol ^ .
What is tenth term of the sequence 2n plus 1?
The nth term of the sequence 2n + 1 is calculated by substituting n with the term number. So, the tenth term would be 2(10) + 1 = 20 + 1 = 21. Therefore, the tenth term of the sequence 2n + 1 is 21.
What is the nth term sequence for 3n plus 3?
3,6,9,12.....
What is the nth term of 7-10-13-16-19?
The nth term of a sequence is the general formula for a sequence. The nth term of this particular sequence would be n+3. This is because each step in the sequence is plus 3 higher than the previous step.
What are the first four terms of a sequence for 2n plus 4 divided by 2?
2n+4/2 term 1 = 3 term 2 = 4 term 3 = 5 term 4 = 6
What is the 8th term of a sequence when the rule is 3n plus 4?
To find the 8th term of the sequence with the rule 3n + 4, you would substitute n = 8 into the formula. This gives you 3(8) + 4 = 24 + 4 = 28. Therefore, the 8th term of the sequence is 28.
What is the nth term sequence for 9n plus 1?
Strangely enough, it is 9n + 1 for n = 1, 2, 3, ...
A sequence of trapezoids is shown. The first threetrapezoids in the sequence are formed by 3, 5, and 7 triangles.a. How many triangles are needed for the 10th trapezoid?
Maybe 21 which is the 10th odd number OR 37 which is the 10th prime number
What is the general term of the sequence 0 1 1 2 2 3 3.?
The general term for the sequence 0, 1, 1, 2, 2, 3, 3 is infinite sequence.
What is the nth term of the sequence -3 1 5 9 13 17?
The given sequence is an arithmetic sequence with a common difference of 4 between each term. To find the nth term of an arithmetic sequence, we use the formula: nth term = a + (n-1)d, where a is the first term, d is the common difference, and n is the term number. In this case, the first term (a) is -3, the common difference (d) is 4, and the term number (n) is the position in the sequence. So, the nth term of the given sequence is -3 + (n-1)4 = 4n - 7.
What is the third term of a sequence that has a first term of 3 and a common ratio of 3?
27
What is the 4th term in a Fibonacci sequence?
3
What is next in sequence 1 5 17 53 161?
Each term in the sequence is three times the previous term plus two, so the next term is 485.1 (3 x 1 + 2) 5 (3 x 5 + 2) 17 (3 x 17 + 2) 53 (3 x 53 = 2) 161 (3 x 161 + 2) 485
