Question

Consider the sequence: 35, 32, 29, 26...

a. Find the Explicit Rule

a) The explicit rule is a_n = 35 - 3(n-1)
b) The explicit rule is a_n = 35 - 3n
c) The explicit rule is a_n = 35 - 2(n-1)
d) The explicit rule is a_n = 35 - 2n

Answer 1

The explicit rule for the given sequence is a_n = 35 - 3(n-1). Each term in the sequence is 3 less than the previous term.

Step-by-step explanation:

The explicit rule for the given sequence is a_n = 35 - 3(n-1) (option a).

To find the explicit rule, we observe that each term in the sequence is 3 less than the previous term. So, we can subtract 3 from the previous term to get the next term. The first term in the sequence is 35, so when n = 1, the formula becomes a_1 = 35 - 3(1-1) = 35. By plugging in different values of n, we can generate the entire sequence.