Question

D(n)=8−6(n−1) What is the 6th term in arithmetic sequence?

Answer 1

`a_6=-22`

Explanation:

`"to find the 6 th term given the n th term formula"`
`"substitute n = 6 into the formula"`

`rArrD(color(red)(6))=8-6(color(red)(6)-1)`

`=8-(6xx5)=8-30=-22`

Answer 2

`D(6)=8-6(6-1)=8-6(5)=8-30=-22`

Explanation:

Here,

`D(n)=8-6(n-1)=8+(n-1)(-6)`

For Arithmetic Sequence,

`n^(th)term=a+(n-1)d,`

where, `a`=first term and `d`=common difference.

So, `a=8 and d=-6`

`:.6^(th) term=a+(6-1)d`

`i.e.D(6)=8+(5)(-6)=8-30=-22`