Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. 10, 11, 12, 13

Question

asked Feb 7, 2022 5.9k views

1 Answer

Farwa · Answer 1 · 2022-02-13T15:55:59+0000

Answer:

9 + n

Explanation:

Well it's an arythmetic sequence, so it will look like:

$a + d\cdot n$

Note that the first element is:

$a + d\cdot 1$

and the second element is:

$a + d \cdot 2$

So the difference between the two gives us d!

d = 11 - 10 = 1

Now let's find the
:

$a + d\cdot 1 = 10\\a + 1 \cdot 1 = 10\\a + 1 = 10\\a = 9$