Question

how do i type in those little numbers like An=5...
the n is below the a and it's like the opposite of ^

Answer 1

Answer:

The correct option is B. $a_{n} =5 + (n-1)\times -4$

Therefore the Explicit formula for this sequence is

$a_{n} =5 + (n-1)\times -4$

Step-by-step explanation:

Given:

Arithmetic Sequence has recursive formula as

First term = a₁ = 5

$a_{n} = a_{n-1}-4$

∴ $Common\ Difference = d = a_{n}-a_{n-1} = -4$

∴ $d = -4$

To Find:

$a_{n} = ?$

Solution:

An equation for the nth term of the arithmetic sequence is given by

$a_{n} =a_{1} + (n-1)\times d$

Substituting the values we get

$a_{n} =5 + (n-1)\times -4$

Therefore the Explicit formula for this sequence is

$a_{n} =5 + (n-1)\times -4$