The first term in this number pattern is 7

The first term in this number pattern is 7.
7,12,10,15,13,..
what is the eighth term in this pattern

The Correct Answer and Explanation is :

To find the eighth term in the given number pattern, let’s first observe the relationship between consecutive terms. The sequence provided is:

7, 12, 10, 15, 13, …

Step 1: Look for a pattern

Let’s break the sequence into two alternating sub-sequences:

1. First sub-sequence (odd-positioned terms):
   7, 10, 13, … We can see that this sequence increases by 3 each time.
   7 → 10 (add 3), 10 → 13 (add 3).
   So, the pattern for these terms is:
   7, 10, 13, … (add 3 to each term).
2. Second sub-sequence (even-positioned terms):
   12, 15, … Here, the numbers increase by 3 as well.
   12 → 15 (add 3).
   So, the pattern for these terms is:
   12, 15, … (add 3 to each term).

Step 2: Predict the eighth term

Now that we’ve identified the two sub-sequences, we can predict the eighth term.

• The 1st, 3rd, 5th, and 7th terms belong to the first sub-sequence, which increases by 3 each time.
• The 2nd, 4th, 6th, and 8th terms belong to the second sub-sequence, which also increases by 3 each time.

The 6th term in the sequence is 15, and the next term in this sub-sequence is the 8th term, which will be:
15 + 3 = 18.

Conclusion:

The eighth term in the given sequence is 18.

Explanation:

This sequence alternates between two sub-sequences:

• One increases by 3 at odd positions.
• The other increases by 3 at even positions.
  By identifying these sub-sequences and continuing the pattern, we arrive at the eighth term as 18.