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Write the explicit formula

for the sequence 8, 4,0,-4,8
Then find the 10th term in
the sequence

User Mahahari
by
6.8k points

1 Answer

1 vote

Answer:

The required explicit formula is A(n)= 4-4n

10th term of arithmetic sequence is (-36)

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)

User Lordking
by
8.3k points

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