QuestionFind the sequence defined by $a_{n}=n+4$ . Which set matches? $\{9,3,4\}$ , $\{4,2,9\}$ , $\{4,5,1\}$ , $\{5,6,7\}$ ?

Studdy Solution

STEP 1

Assumptions1. The formula for the sequence is $a_{n}=n+4$ . We need to find the sequence that correctly applies this formula

STEP 2

The formula $a_{n}=n+4$ means that each term in the sequence is the position of that term plus4.

STEP 3

Let's test the first sequence $\{9,3,\}$ . According to our formula, the first term when n=1 should be $1+=5$ , but in this sequence, the first term is9. So, this sequence is incorrect.

STEP 4

Let's test the second sequence $\{4,2,9\}$ . According to our formula, the first term when n=1 should be $1+4=$ , but in this sequence, the first term is4. So, this sequence is also incorrect.

STEP 5

Let's test the third sequence $\{4,5,1\}$ . According to our formula, the first term when n=1 should be $1+4=5$ , but in this sequence, the first term is4. So, this sequence is also incorrect.

STEP 6

Let's test the fourth sequence $\{5,6,\}$ . According to our formula, the first term when n=1 should be $1+4=5$ , which matches the first term in this sequence. Let's continue to check the rest of the sequence.

STEP 7

For the second term when n=2, our formula gives $2+4=6$ , which matches the second term in this sequence.

STEP 8

For the third term when n=3, our formula gives $3+4=7$ , which matches the third term in this sequence.So, the correct sequence according to the formula $a_{n}=n+4$ is $\{5,6,7\}$ .

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QuestionFind the sequence defined by $a_{n}=n+4$ . Which set matches? $\{9,3,4\}$ , $\{4,2,9\}$ , $\{4,5,1\}$ , $\{5,6,7\}$ ?

Studdy Solution

STEP 1

Assumptions1. The formula for the sequence is $a_{n}=n+4$ . We need to find the sequence that correctly applies this formula

STEP 2

The formula $a_{n}=n+4$ means that each term in the sequence is the position of that term plus4.

STEP 3

Let's test the first sequence $\{9,3,\}$ . According to our formula, the first term when n=1 should be $1+=5$ , but in this sequence, the first term is9. So, this sequence is incorrect.

STEP 4

Let's test the second sequence $\{4,2,9\}$ . According to our formula, the first term when n=1 should be $1+4=$ , but in this sequence, the first term is4. So, this sequence is also incorrect.

STEP 5

Let's test the third sequence $\{4,5,1\}$ . According to our formula, the first term when n=1 should be $1+4=5$ , but in this sequence, the first term is4. So, this sequence is also incorrect.

STEP 6

Let's test the fourth sequence $\{5,6,\}$ . According to our formula, the first term when n=1 should be $1+4=5$ , which matches the first term in this sequence. Let's continue to check the rest of the sequence.

STEP 7

For the second term when n=2, our formula gives $2+4=6$ , which matches the second term in this sequence.

STEP 8

For the third term when n=3, our formula gives $3+4=7$ , which matches the third term in this sequence.So, the correct sequence according to the formula $a_{n}=n+4$ is $\{5,6,7\}$ .

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QuestionFind the sequence defined by an=n+4a_{n}=n+4an​=n+4. Which set matches? {9,3,4}\{9,3,4\}{9,3,4}, {4,2,9}\{4,2,9\}{4,2,9}, {4,5,1}\{4,5,1\}{4,5,1}, {5,6,7}\{5,6,7\}{5,6,7}?

Studdy Solution

STEP 1

Assumptions1. The formula for the sequence is an=n+4a_{n}=n+4an​=n+4 . We need to find the sequence that correctly applies this formula

STEP 2

The formula an=n+4a_{n}=n+4an​=n+4 means that each term in the sequence is the position of that term plus4.

STEP 3

Let's test the first sequence {9,3,}\{9,3,\}{9,3,}. According to our formula, the first term when n=1 should be 1+=51+=51+=5, but in this sequence, the first term is9. So, this sequence is incorrect.

STEP 4

Let's test the second sequence {4,2,9}\{4,2,9\}{4,2,9}. According to our formula, the first term when n=1 should be 1+4=1+4=1+4=, but in this sequence, the first term is4. So, this sequence is also incorrect.

STEP 5

Let's test the third sequence {4,5,1}\{4,5,1\}{4,5,1}. According to our formula, the first term when n=1 should be 1+4=51+4=51+4=5, but in this sequence, the first term is4. So, this sequence is also incorrect.

STEP 6

Let's test the fourth sequence {5,6,}\{5,6,\}{5,6,}. According to our formula, the first term when n=1 should be 1+4=51+4=51+4=5, which matches the first term in this sequence. Let's continue to check the rest of the sequence.

STEP 7

For the second term when n=2, our formula gives 2+4=62+4=62+4=6, which matches the second term in this sequence.

STEP 8

For the third term when n=3, our formula gives 3+4=73+4=73+4=7, which matches the third term in this sequence.So, the correct sequence according to the formula an=n+4a_{n}=n+4an​=n+4 is {5,6,7}\{5,6,7\}{5,6,7}.

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QuestionFind the sequence defined by $a_{n}=n+4$ . Which set matches? $\{9,3,4\}$ , $\{4,2,9\}$ , $\{4,5,1\}$ , $\{5,6,7\}$ ?

Assumptions1. The formula for the sequence is $a_{n}=n+4$ . We need to find the sequence that correctly applies this formula

The formula $a_{n}=n+4$ means that each term in the sequence is the position of that term plus4.

Let's test the first sequence $\{9,3,\}$ . According to our formula, the first term when n=1 should be $1+=5$ , but in this sequence, the first term is9. So, this sequence is incorrect.

Let's test the second sequence $\{4,2,9\}$ . According to our formula, the first term when n=1 should be $1+4=$ , but in this sequence, the first term is4. So, this sequence is also incorrect.

Let's test the third sequence $\{4,5,1\}$ . According to our formula, the first term when n=1 should be $1+4=5$ , but in this sequence, the first term is4. So, this sequence is also incorrect.

Let's test the fourth sequence $\{5,6,\}$ . According to our formula, the first term when n=1 should be $1+4=5$ , which matches the first term in this sequence. Let's continue to check the rest of the sequence.

For the second term when n=2, our formula gives $2+4=6$ , which matches the second term in this sequence.

For the third term when n=3, our formula gives $3+4=7$ , which matches the third term in this sequence.So, the correct sequence according to the formula $a_{n}=n+4$ is $\{5,6,7\}$ .