Question

Trixie now wants an arithmetic sequence with a sequence generator of and a term of . (In other words, .) Is it possible to create an arithmetic sequence to fit her information? If it is possible, find the equation. If it is not possible, explain why not.

Answer 1

`T_(n)=348+(n-1)(-17)` will be the equation

Explanation:

The given question is incomplete; here is the complete question.

Trixie now wants an arithmetic sequence with a common difference of -17 and a 16th term of 93..(In other words t(16) = 93). Is it possible to create an arithmetic sequence to fit her information? If it is possible, write the equation. If it is not possible, explain why not.

We know explicit formula for nth term of an arithmetic sequence is given by,

`T_(n)=a+(n-1)d`

Where
`T_(n)` = nth term of the sequence

n = number of term

d = common difference

a = first term of the sequence

For 16th term,

`T_(16)=a+(16-1)(-17)`

93 = a + (16 - 1)(-17)

93 = a - 255

a = 93 + 255

a = 348

Finally the sequence is possible with the given information and the equation will be

`T_(n)=348+(n-1)(-17)`