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The expression n(n - 1) represents a quadratic sequence. To find the first four terms, we can substitute n = 1, 2, 3, and 4.

  • For n = 1: 1(1 - 1) = 0
  • For n = 2: 2(2 - 1) = 2
  • For n = 3: 3(3 - 1) = 6
  • For n = 4: 4(4 - 1) = 12

Thus, the first four terms are 0, 2, 6, and 12.

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The first five terms of the sequence defined by (4n) can be found by substituting (n) with the integers 1 through 5. Thus, the terms are: For (n = 1): (4 \times 1 = 4) For (n = 2): (4 \times 2 = 8) For (n = 3): (4 \times 3 = 12) For (n = 4): (4 \times 4 = 16) For (n = 5): (4 \times 5 = 20) So, the first five terms are 4, 8, 12, 16, and 20.


What is the sum of the first six terms of the geometric sequence 1 4 16?

The given geometric sequence is 1, 4, 16, where the first term ( a = 1 ) and the common ratio ( r = 4 ). To find the sum of the first six terms, we calculate the sixth term: ( a_6 = a \cdot r^{5} = 1 \cdot 4^5 = 1024 ). The sum of the first ( n ) terms of a geometric sequence is given by the formula ( S_n = a \frac{r^n - 1}{r - 1} ). Thus, the sum of the first six terms is ( S_6 = 1 \cdot \frac{4^6 - 1}{4 - 1} = \frac{4096 - 1}{3} = \frac{4095}{3} = 1365 ).


What are the first 3 terms for 4n plus 1?

As whole number integers? 4(1) + 1 = 5 ------ 4(2) + 1 = 9 ----- 4(3) + 1 = 13 -------


What are the first 5 terms of n plus 3?

The expression "n plus 3" can be represented as ( n + 3 ). To find the first five terms, we can substitute the values ( n = 1, 2, 3, 4, ) and ( 5 ) into the expression. The first five terms are: ( 1 + 3 = 4 ) ( 2 + 3 = 5 ) ( 3 + 3 = 6 ) ( 4 + 3 = 7 ) ( 5 + 3 = 8 ) Thus, the first five terms are 4, 5, 6, 7, and 8.


What is the rule to this pattern 1 3 4 7 11 18?

This is a Fibonacci sequence where the first two terms are known as 'seed values' and successive terms are the sum of the two previous terms. 4 = 3 + 1 7 = 4 + 3 11 = 7 + 4 18 = 11 + 7.

Related Questions

What are the first five terms of the sequence 4n?

The first five terms of the sequence defined by (4n) can be found by substituting (n) with the integers 1 through 5. Thus, the terms are: For (n = 1): (4 \times 1 = 4) For (n = 2): (4 \times 2 = 8) For (n = 3): (4 \times 3 = 12) For (n = 4): (4 \times 4 = 16) For (n = 5): (4 \times 5 = 20) So, the first five terms are 4, 8, 12, 16, and 20.


What is the sum of the first six terms of the geometric sequence 1 4 16?

The given geometric sequence is 1, 4, 16, where the first term ( a = 1 ) and the common ratio ( r = 4 ). To find the sum of the first six terms, we calculate the sixth term: ( a_6 = a \cdot r^{5} = 1 \cdot 4^5 = 1024 ). The sum of the first ( n ) terms of a geometric sequence is given by the formula ( S_n = a \frac{r^n - 1}{r - 1} ). Thus, the sum of the first six terms is ( S_6 = 1 \cdot \frac{4^6 - 1}{4 - 1} = \frac{4096 - 1}{3} = \frac{4095}{3} = 1365 ).


What are the first 3 terms for 4n plus 1?

As whole number integers? 4(1) + 1 = 5 ------ 4(2) + 1 = 9 ----- 4(3) + 1 = 13 -------


What were Louis Joliet's 4 voyages?

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What are the first 5 terms of n plus 3?

The expression "n plus 3" can be represented as ( n + 3 ). To find the first five terms, we can substitute the values ( n = 1, 2, 3, 4, ) and ( 5 ) into the expression. The first five terms are: ( 1 + 3 = 4 ) ( 2 + 3 = 5 ) ( 3 + 3 = 6 ) ( 4 + 3 = 7 ) ( 5 + 3 = 8 ) Thus, the first five terms are 4, 5, 6, 7, and 8.


What is the formula for the geometric progression with the first 3 terms 4 2 1?

The nth term of the series is [ 4/2(n-1) ].


Is 1 over 4 lowest terms?

Yes, 1/4 is in its lowest terms


What is 1 over 4 in lowest terms?

1/4 is already in its lowest terms


What is the rule to this pattern 1 3 4 7 11 18?

This is a Fibonacci sequence where the first two terms are known as 'seed values' and successive terms are the sum of the two previous terms. 4 = 3 + 1 7 = 4 + 3 11 = 7 + 4 18 = 11 + 7.


What is k plus 1 plus k plus 4 simplified?

The expression ( k + 1 + k + 4 ) can be simplified by combining like terms. First, combine the ( k ) terms: ( k + k = 2k ). Then, combine the constant terms: ( 1 + 4 = 5 ). Therefore, the simplified expression is ( 2k + 5 ).


What are the first 5 terms in the sequence 3n-3?

To find the first 5 terms, plug 1, 2, 3, 4 and 5 in for n:3*1-3 = 03*2-3 = 33*3-3 = 63*4-3 = 93*5-3 = 12The first five terms are 0, 3, 6, 9 and 12.


What are the first five terms of the sequence 4n -1?

5