Look at the sequence ଵଷ, ଶସ, ଷହ , ସ଺ , … , … ..Write down (a) the 10th term (1 mark)(b) the nth term

To solve the problem of identifying the terms in the given sequence, we will follow these steps:

1. Break Down the Problem

We need to identify the pattern in the sequence: ଵଷ, ଶସ, ଷହ, ସ଺, ... and then find the 10th term as well as formulate the nth term.

2. Identify the Sequence Pattern

Observing the given terms:

• The first term is ଵଷ (1, 2)
• The second term is ଶସ (2, 3)
• The third term is ଷହ (3, 4)
• The fourth term is ସ଺ (4, 5)

We can see that the first digit is increasing by 1 with every term and the second digit also increases by 1.

3. Confirm the Pattern

From the terms, it's clear that:

• Term 1: (1, 2)
• Term 2: (2, 3)
• Term 3: (3, 4)
• Term 4: (4, 5)

Thus, the nth term can be expressed as:

• First digit: n
• Second digit: n + 1

4. Find the Terms

(a) To find the 10th term:

• First digit: 10
• Second digit: 10 + 1 = 11

So, the 10th term is ଑ଅ (10, 11).

(b) The nth term can be expressed as:

• nth Term: (n, n + 1)

Final Answer

(a) The 10th term is ଑ଅ.
(b) The nth term is (n, n + 1).