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 and each term is 6 more than the term preceding it.

So,the ${10}^{th}$ term of the sequence = 2 + (10 - 1)$\times$6 = 2 + 9$\times$6 = 2 + 54 = 56

Hence, the ${10}^{th}$ term of the sequence is 56.