Question

4. Is the following sequence arithmetic or geometric? What is the next term of the sequence? 3,6,9,12... a. Arithmetic, 15 b. Geometric, 15 C. Arithmetic, 36 d. Geometric, 36

Answer 1

Given the sequence 3 , 6 , 9 , 12 , ......

So, the difference between the first two terms = 6 - 3 = 3

the difference between term 6 and 9 = 9 - 6 = 3

So, there is a constant common difference between the terms

which equal to 3

so, the given sequence is Arithmetic

And the next term = 12 + 3 = 15

So, the answer is a. Arithmetic, 15