Answer:
an = 10 + (-2)(n-1)
Step-by-step explanation:
We are given from the sequence first term, a1 = 10
common difference, d = a2 - a1
Where; a2 = second term = 8
d = 8 - 10 = -2
From the formula, an = a1 + d(n - 1),
We substitute the value of a1 and d
therefore, an = 10 + (-2)(n - 1)
Answer: an = 10 + (-2)( n - 1)
Step-by-step explanation:
In an arithmetic progression, the consecutive terms differ by a common difference. The formula for determining the nth term of an arithmetic sequence is expressed as
an = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
Looking at the given sequence,
a = 10
d = 8 - 10 = 6 - 8 = - 2
Therefore, the formula for the sequence is
an = 10 + (n - 1)- 2
an = 10 + (-2)( n - 1)