Mathematics

Grade-4-

Easy

Question

# William’s Bakery baked 2 cakes on Tuesday, 6 cakes on Wednesday, 18 cakes on Thursday, 54 cakes on Friday, and 162 cakes on Saturday. If this pattern continues, the number of cakes will they bake on Sunday is

- 386
- 474
- 483
- 486

Hint:

### The number of cakes baked by William’s bakery is given in a pattern. The number of cakes made on Tuesday are 2, 6 cakes on Wednesday, 18 cakes on Thursday, 54 cakes on Friday and 162 cakes on Saturday. We have to find number cakes made on Sunday. We will find the rule used to write the sequence and complete the sequence.

## The correct answer is: 486

### We can write the given sequence as 2, 6, 18, 54, 162

We have to find the rule used to write the above sequence.

We will try to use different operations to find the rule used to write the above expression.

Subtraction:

We will subtract second term from first term. If subtraction is used, this will be difference between all terms.

6 – 2 = 4

We will add this to second term to see if we will get the third term.

6 + 4 = 10

This is not the third term of the sequence. So, subtraction is eliminated.

Multiplication:

We will divide the second term by first.

6 ÷ 2 = 3

We will multiply the second term by this factor and see if we get the third term.

6 × 3 = 18

18 × 3 = 54

54 × 3 = 162

This pattern is same as the given pattern.

We will multiply the last term by 3 to find the next term.

162 × 3 = 486

So, the number of the cakes William’s Bakery makes on Sunday is 486.

For such questions, we should know the basic operations. When the rule used to write the pattern is not mentioned, we have to use all four operations to check the pattern. The operations are addition, subtraction, division, and multiplication.