Question

Find the nth term of this number sequence 1, 10, 19, 28, ... Pls help

Answer 1

Answer:

The nth term = 9n - 8.

Step-by-step explanation:

This is an Arithmetic Sequence with common difference d =

10 - 1 = 19 - 10 = 28 - 19 = 9.

The nth term an = a1 + (n - 1)d where a1 = the first term and d = the common difference.

So the nth term = 1 + (n - 1)9

= 1  + 9n - 9

= 9n - 8.

Answer 2

Answer:

9n - 8

Step-by-step explanation:

The sequence is arithmetic since the difference between consecutive terms is common

d = 10 - 1 = 19 - 10 = 28 - 19 = 9

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 = 1 and d = 9, thus

$a_{n}$ = 1 + 9(n - 1) = 1 + 9n - 9 = 9n - 8, hence

$a_{n}$ = 9n - 8