Write the explicit formula

for the sequence 8, 4,0,-4,8

Then find the 10th term in

the sequence

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)