Question

Write an equation for the nth term of the arithmetic sequence.

Answer 1

Explanation:

TN=n/4 is the nth term of arithmetic sequence.

Answer 2

Explanation:

Given

• 
  `\sf \: first \: term \: (a) = (1)/(4) \\`

• 
  `\small{\sf \: Common \: difference \: (d) = (1)/(2) - (1)/(4) = \bold{(1)/(4)}}`

To find

• nth term

Solution

`\sf \: T_n = a+(n-1)d`

`\sf \: T_n = (1)/(4) +(n-1) (1)/(4)`

`\sf \: T_n = (1)/(4) + (n)/(4) - (1)/(4)`

`\sf \: T_n = (n)/(4)`

an equation for the nth term of the arithmetic sequence. is n/4