Question

Find “n" (the number of the term in the sequence)

an = 1797

a1 = 6

d = 9

n =?

PLEASE SHOW WORK

Answer 1

n = 200

Explanation:

The n th term of an arithmetic sequence is

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 6 and d = 9, thus

`a_(n)` = 6 + 9(n - 1) = 6 + 9n - 9 = 9n - 3

Now
`a_(n)` = 1797, so

9n - 3 = 1797 ( add 3 to both sides )

9n = 1800 ( divide both sides by 9 )

n = 200