Answer: 2.)a1 =-3, d = 7, an = 7n - 10
Step-by-step explanation:
In an arithmetic sequence, consecutive terms differ by a common difference.
The formula for determining the nth term of an arithmetic sequence is expressed as
an = a1 + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a1 = - 3
d = 4 - - 3 = 11 - 4 = 18 - 11 = 25 - 18 = 7
Therefore, the Explicit Rule for this arithmetic sequence is
an = - 3 + 7(n - 1)
an = - 3 + 7n - 7
an = 7n - 7 - 3
an = 7n - 10
