Answer:
30, 35 and 40
Step-by-step explanation:
The given sequence 10, 15, 20, 25... is an arithmetic sequence
nth term of an arithmetic sequence Tn = a +(n-1)d
a is the first term = 10
d is the common difference = 15-10 = 20-15 = 5
n is the number of terms
For the 5th term
T5 = 10 + (5-1)*5
T5 = 10+4(5)
T5 = 10+20
T5 = 30
For the 6th term
T5 = 10 + (6-1)*5
T6 = 10+5(5)
T6 = 10+25
T6 = 35
For the 7th term
T7 = 10 + (7-1)*5
T7 = 10+6(5)
T7 = 10+30
T7 = 40
Hence the next 3 terms are 30, 35 and 40
