Question

Which of the following are explicit equations for the nth term of some kind of arithmetic sequence? a) Pn=p1+(n-1)p1 b) an=an-1+d c) xn=x1(n-1) d) xn=xn-1+vt e) pn=pn-1+ip1

Answer 1

The required equation is
`a_n=a_1+(n-1)d`

Explanation:

To find : Which of the following are explicit equations for the nth term of some kind of arithmetic sequence?

Solution :

The Explicit formula which shows the nth term of a sequence in terms of n is given by,

`a_n=a_1+(n-1)d`

Where,
`a_n` is the nth term

`a_1` is the first term

n is the number of terms

d is the common difference

Therefore, The required equation is
`a_n=a_1+(n-1)d`