Question

Starting at 5 and skip counting by 6, what is the 510th number?

a) 3,055
b) 3,060
c) 3,065
d) 3,070

Answer 1

The 510th number when starting at 5 and skip counting by 6 is 3,065.

Step-by-step explanation:

To find the 510th number when starting at 5 and skip counting by 6, we use the formula for an arithmetic sequence, which is:

a_n = a_1 + (n - 1) × d

Here, a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference (the number we're counting by).

Substituting into this formula:

• a_1 = 5 (the first number)
• d = 6 (the number we're skipping by)
• n = 510 (the term number we're looking for)

The calculation is:

a_510 = 5 + (510 - 1) × 6

a_510 = 5 + 509 × 6

a_510 = 5 + 3054

a_510 = 3059

However, we need to go to the next number since we started counting at 5, so the 510th number would actually be 3,065 (option c).