Question

Numbers, figures, objects, or symbols arranged in a definite order or sequence

is often encountered in Mathematics. For instance.
(a) 2, 4, 6, ...
(b)

(c) A. D. G, J.
Numbers in (a), figures in (b), and letters in (c) are arranged in a definite order
Using the given sequences:
1. What is the next number in (a)?
2. What is the next figure in (b)?
3. What is the next letter in (c)?​

Answer 1

(a) Next number is 8

(c) Next alphabet is M

Explanation:

Given

`(a)\ 2, 4, 6`

`(c)\ A, D, G, J`

Solving (a): The next number

In the given sequence, each item is gotten by adding 2 to the previous item.

i.e.

`4 \to 2 + 2`

`6 \to 4 + 2`

So, the rule is: Add 2

Hence, the next number is:

`Next = 6 + 2`

`Next = 8`

Solving (c): The next letter

In the given sequence, each letter is gotten by skipping two alphabets i.e.

`D \to A []\ [] D`

`G \to D []\ [] G`

`J \to G []\ [] J`

So, the rule is: skip 2 alphabets

`Next: J \ []\ [] M`

The next letter is M

Solving (b); The next figure

This question requires an attachment.

Since, none is given; I will give a general explanation.

First, you need to study the pattern, identify the rule, then apply the rule

Take for instance, the attached image.

The pattern follows that:

1 layer, 3 dots

2 layers, 6 dots

3 layers, 9 dots

4 layers, 12 dots

This implies that,

Rule: Add 1 layer and 3 dots

So, the next will be:

5 layers, 15 dots