Question

In the series 2, 6, 18, 54, ...... what will be the 8th term?

2)4374
1)4370
4)7434
3)7443

Answer 1

In the geometric series 2, 6, 18, 54, ..., each term is obtained by multiplying the previous term by 3. By continuing this pattern, the 8th term is found to be 4374.

Therefore, the correct answer is: option 2)4374

Step-by-step explanation:

To find the 8th term in the series 2, 6, 18, 54, ..., we need to recognize the pattern.

This series is a geometric sequence where each term is obtained by multiplying the previous term by 3.

The common ratio here is 3.

1. Starting with the first term 2, the second term is 2 × 3 = 6.
2. The third term is 6 × 3 = 18.
3. The fourth term is 18 × 3 = 54, and so on.

Continuing this process to find the 8th term:

1. 5th term: 54 × 3 = 162
2. 6th term: 162 × 3 = 486
3. 7th term: 486 × 3 = 1458
4. 8th term: 1458 × 3 = 4374

Therefore, the 8th term of the series is 4374.