What is the 10th number in the sequence: 5, 11, 17, 23, 29, 35, ...?

What is the 10th number in the sequence: 5, 11, 17, 23, 29, 35, ...?

• A. a. 51
• B. b. 53
• C. c. 59
• D. d. 61

Answer: (C)

To determine the 10th number in the sequence, we first need to observe the pattern of the given numbers: 5, 11, 17, 23, 29, 35. The differences between consecutive terms can be calculated as follows: - From 5 to 11, the difference is 6. - From 11 to 17, the difference is also 6. - Continuing this, the differences remain consistent: 6, 6, 6, ... This indicates that the sequence is an arithmetic sequence with a common difference of 6. We can express the nth term of an arithmetic sequence using the formula: \[ a_n = a_1 + (n-1) \cdot d \] where: - \( a_n \) is the nth term, - \( a_1 \) is the first term (5 in this case), - \( d \) is the common difference (6). To find the 10th term (\( n = 10 \)), we can substitute these values into the formula: \[ a_{10} = 5 + (10-1) \cdot 6 \] \[ a_{10} = 5 + 9 \cd

To determine the 10th number in the sequence, we first need to observe the pattern of the given numbers: 5, 11, 17, 23, 29, 35. The differences between consecutive terms can be calculated as follows:

• From 5 to 11, the difference is 6.

• From 11 to 17, the difference is also 6.

• Continuing this, the differences remain consistent: 6, 6, 6, ...

This indicates that the sequence is an arithmetic sequence with a common difference of 6. We can express the nth term of an arithmetic sequence using the formula:

[ a_n = a_1 + (n-1) \cdot d ]

where:

• ( a_n ) is the nth term,

• ( a_1 ) is the first term (5 in this case),

• ( d ) is the common difference (6).

To find the 10th term (( n = 10 )), we can substitute these values into the formula:

[ a_{10} = 5 + (10-1) \cdot 6 ]

[ a_{10} = 5 + 9 \cd