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10 votes
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Figure 1Figure 2Figure 3If this pattern continues, how many squares will be in the 10th figure?

Figure 1Figure 2Figure 3If this pattern continues, how many squares will be in the-example-1
User Kanishk Dudeja
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1 Answer

11 votes
11 votes

Given:

Number of squares in figure 1 = 5

Number of squares in figure 2 = 8

Number of squares in figure 3 = 11

Let's find the number of squares in figure 10 if the pattern continues.

To solve this, let's apply the arithmetic progression formula:

a(n) = a1 + (n - 1)d

Where:

a1 = first term(squares in figure 1) = 5

n = number of terms = 10

d is the common difference.

To find the common difference, we have:

d = a2 - a1 = 8 - 5 = 3

Thus, the common difference is 3.

To find the number of squares in figure 10 (a10), we have:

a(n) = a1 + (n - 1)d

a(10) = 5 + (10 - 1)3

a(10) = 5 + (9)3

a(10) = 5 + 27

a(10) = 32

Therefore, the number of squares in figure 10 will be 32 squares .

ANSWER:

E. 32

User Sedovav
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