Respuesta :
Answer:
- an = 4 + 2(n-1)
- a8 = 18
Step-by-step explanation:
The n-th term is given by ...
an = a1 + d(n -1)
for common difference d and first term a1.
You have a sequence with a first term 4 and a common difference of 6-4=2, so the formula is ...
an = 4 + 2(n -1)
__
Using n=8, we find ...
a8 = 4 + 2(8-1)
a8 = 18
Answer:
Step-by-step explanation:
An arithmetic sequence is a sequence in which each term differs from the term following it by a common difference. This common difference is constant between two consecutive terms. The formula for the nth term of an arithmetic sequence is expressed as
Tn = a +(n - 1)d
Where
a is the first term of the sequence
d is the common difference.
Tn is the nth term
n is the number of terms in the sequence
Looking at the information given,
a = 4
d = 6 - 4 = 8 - 6 = 2
To find a8, it will be the eighth term. Therefore
a8 = 4 + (8 - 1)2
a8 = 4 + 7×2
a8 = 4 + 14 = 18