Answer:
15 terms
Step-by-step explanation:
There is a common difference d between consecutive terms
d = 20 - 10 = 30 - 20 = 10
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and d = 10 with [tex]a_{n}[/tex] = 150 , then
10 + 10(n - 1) = 150 ( subtract 10 from both sides )
10(n - 1) = 140 ( divide both sides by 10 )
n - 1 = 14 ( add 1 to both sides )
n = 15
The number of terms is 15
