Consider the sequence: 3, 8, 13, 18, 23, recursive formula for this sequence is: an = an-1 + 5in a complete sentence, explain what an and an-1 represent in the formula. then find a8 . what do you need to know in order to find a8 ?

see the explanation

Step-by-step explanation:

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant called the common difference

we have

Let

------>

------>

------>

------>

so

the common difference between consecutive terms is equal to 5

we can rewrite the formula as

-----> given formula

For n > 1

where

an is the term that you want to find (position n)

a(n-1) is the known term position (n-1)

Find a_8

For n=8

I need to know a_7

or

we know that

The general formula for arithmetic sequence is equal to

where

an is the term that you want to find (position n)

a_1 is the first term

d is the common difference

n is the number of terms

we have

substitute

so

For n=8

step-by-step explanation:

if you meant, "on the way from (3, 2) to (3, 14):

x does not change; y increases by 12.

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