Question

Find the ${10}^{th}$ term of the sequence 2, 8, 14, 20…

• A. 50
• B. 54
• C. 56
• D. 52

Answer 1

The correct option is C

56

The given sequence is 2, 8, 14, 20…

Let us calculate the difference between two consecutive terms.

8 - 2 = 6

14 - 8 = 6

20 - 14 = 6

We observe that the difference between two consecutive terms is 6 i.e. each term is 6 more than the term preceding it.

So, the sequence will be 2, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, ....

So, the ${10}^{th}$ term will be 56.