Question

1, 8, 15, 22, 29, ....

a. ( d = )

b. ( a_1 = )

c. ( a_0 = )

d. ˚le One: Arithmetic or Geometric

e. Recursive Rule:

f. Explicit Rule:

Answer 1

The given sequence is arithmetic with a common difference of 7. The explicit rule for the sequence is: an = a1 + (n-1)d.

Step-by-step explanation:

The given sequence: 1, 8, 15, 22, 29, ....

a. The common difference (d) between consecutive terms is 7. (d = 7)

b. The first term (a1) is 1. (a1 = 1)

c. The zeroth term (a0) is not given.

d. The sequence is arithmetic because the difference between consecutive terms is constant.

f. The explicit rule for the sequence is: an = a1 + (n-1)d, where an represents the nth term, a1 is the first term, and d is the common difference.