Question

write the letter of the correct answers on your answer sheet. Find the next three terms in each sequence. Example 10,15,20,25,​

Answer 1

30, 35 and 40

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