Question

Find a formula for the nth term in this

Answer 1

The formula for the nth term in this arithmetic sequence is:

-3n + 10

Answer 2

Answer:

$a_{n} = -3n + 10$

Step-by-step explanation:

The arithmentic function formula is:

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

Let's plug in what we know. $a_{1}$ (the first term in our sequence) is 7. d (the common difference) is -3. This means we are subtracting 3 every time.

Plugging that in to the formula, we get

$a_{n} = 7 -3(n-1)$

Now we distribute and combine like terms.

$a_{n} = 7 - 3n +3$

$a_{n} = 10 - 3n$

Change the order to fit the format and you get

$a_{n} = -3n + 10$