Answer:
The required explicit formula is A(n)= 4-4n
10th term of arithmetic sequence is (-36)
Step-by-step explanation:
Given arithmetic sequence is 8,4,0,-4,-8......
The arithmetic sequence is given by a,a+d,a+2d.......a+(n-1)d
Comparing both the sequence we get,
a=8 and a+d=4
For value of d:
d+a=4
d=4-8=(-4)
The explicit formula is given by : A(n)= a+(n-1)d
A(n)= a+(n-1)d
A(n)= 8+(n-1)(-4)
A(n)= 8-4n+4
A(n)= 4-4n
Therefore, The required explicit formula is A(n)= 4-4n
To find value of 10 th term:
Take n=10 in explicit formula
A(10)= 4-4(10)
A(10)= -36
Therefore, 10th term is (-36)
