Question

Find the explicit formula for the given sequence 1/4, 3/4, 5/4, 7/4​

Answer 1

Explanation:

d=(3/4)-(1/4)=(5/4)-(3/4)=(7/4)-(5/4)=1/2

then it is an arithmetic sequence

by using this equation :

a(n) = a1 +(n-1)d

and we have : a1=(1/4), d=(1/2)

So:

Explicit formula: a(n) = (1/4) +(n-1)*(1/2)

hope this helps

Answer 2

Step-by-step explanation:

d=(3/4)-(1/4)=(5/4)-(3/4)=(7/4)-(5/4)=1/2

then it is an arithmetic sequence

by using this equation :

a(n) = a1 +(n-1)d

and we have: a1=(1/4), d=(1/2)

So:

Explicit formula: a(n) = (1/4) +(n-1)*(1/2)