Question

What is the explicit formula for the arithmetic sequence 4/5, 29/30, 17/15, 13/10?

Answer 1

Answer:

Explicit formula is $\frac{4}{5}+(n-1)(\frac{1}{6})$

Step-by-step explanation:

The given arithmetic sequence is 4/5, 29/30, 17/25, 13/10

The explicit formula of this sequence will be in the form of $f{n}=A_{1}+d(n-1)$

Where $f{n}$= nth term of the sequence

$A_{1}$= first term of the sequence

n = number of terms

and d = Second term - first term

$d=\frac{29}{30}-\frac{4}{5} =\frac{5}{30} =\frac{1}{6}$

Now we put the values in the explicit formula

$f(n)=\frac{4}{5}+(n-1)(\frac{1}{6})$

Therefore the explicit formula of this arithmetic sequence is f(n)=$\frac{4}{5}+(n-1)(\frac{1}{6})$

Answer 2

Answer:

B

Step-by-step explanation:

E2020