Which of the following is a Recursive Formula for an Arithmetic Sequence? a1 = -2, an = an-1 + 5
an = 5n – 7
a1 = -2, an= 5an-1
an = -2 + 5(n – 1)

The correct answer is Option 1: a1 = -2, an = an-1 + 5

Step-by-step explanation:

A recursive formula is a formula that uses previous term in order to calculate the next term in a sequence.

In case of arithmetic sequence, the next term is obtain by adding a specific number to the last term.

This can be written as:

Here

a_n is the terms we are calculating

a_{n-1} is the previous term and d is the common difference.

If we compare the given options, we can see that only option 1 matches with the general form of recursive formula

an = an-1 + 5

Here

5 is the common difference

Hence,

The correct answer is Option 1: a1 = -2, an = an-1 + 5

fa tha first one you gonna add y to both sides

it look like this

x-y+y=6+y

x=y+6

therefore your answer is

x =y+6

fa tha second one

you gonna flip tha equation

it gonna look like x-4y=y

then add 4 to both sides

it gonna look like tha

x-4 +4 =y +4

so therefore tha answer is x=y+4

step-by-step explanation:

you can't solve x because it is 2 linear equation and you only have one equation