Question

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

a.51
b.53
c.59
d.61

Answer 1

The answer would be c. 59

The sequence is adding 6 on to the previous number. The numbers following 35 would go as so: 41, 47, 53, 59

Since we are already given 6 numbers, the tenth number in the sequence would four numbers away, meaning the answer is 59

Answer 2

The 10th number in the sequence 5, 11, 17, 23, 29, 35, ... is 59 (Option c).

Step-by-step explanation:

To find the 10th number in the sequence, we can observe that each term increases by 6. The sequence starts with 5 and adds 6 successively to obtain the next numbers: 5 + 6 = 11, 11 + 6 = 17, and so on. This indicates that the sequence is an arithmetic progression with a common difference of 6 between consecutive terms.

Using the formula for the nth term of an arithmetic sequence, which is given by aₙ = a₁ + (n - 1)d, where aₙ is the nth term, a₁ is the first term, n is the term number, and d is the common difference, we can find the 10th term. Plugging in the values: a₁ = 5, n = 10, and d = 6, we get a₁₀ = 5 + (10 - 1) × 6 = 5 + 9 × 6 = 5 + 54 = 59.

Hence, the 10th number in the sequence following this pattern is 59. The sequence increments by 6 in each step, leading to the 10th term being 59. This confirms option c as the correct choice for the 10th number in the sequence. (Option c).