Question

3). Consider the arithmetic sequence 2 , 7 , 12 , etc
a) What is its common difference ?
b) Write down the next three terms of this sequence ?
c) Which number is to be added to the first term to get its 10th term ?
d) How many times of the common difference is to be added to the first term to get its 21th term ?
e) What is its 31th term ?​

Answer 1

Answer:

a. 5

b. 17,22,27

c.45

d.100

e.152

Answer 2

Answer:

(a) common difference = 7 - 2

= 5

(b) next three terms = [17, 22,27]

(c) 45 added in first term to get 45 + 2 = 47

(d) 20 times common difference added in first term to get (20×5) common difference + (2) first term

= 100 + 2

= 102

(e) 31st term = 152