Question

What is the next 3 terms of arithmetic sequence 6,10,14

Answer 1

Answer:

the next three terms are 18,22,26

Answer 2

SOLUTION

TO DETERMINE

The next 3 terms of arithmetic sequence 6 , 10 , 14

CONCEPT TO BE IMPLEMENTED

If in an arithmetic progression

First term = a

Common difference = d

Then nth term of the AP

= a + ( n - 1 )d

EVALUATION

Here the given arithmetic sequence is

6 , 10 , 14

First term = a = 6

Common Difference = d = 10 - 6 = 4

4th term = a + 3d = 6 + 12 = 18

5th term = a + 4d = 6 + 16 = 22

6th term = a + 5d = 6 + 20 = 26

FINAL ANSWER

Hence the required next 3 terms of arithmetic sequence are 18 , 22 , 26

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