Question

Helpp plsss!!! And show workingg

Answer 1

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

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 10 and d = 10 with $a_{n}$ = 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