Number Pattern Worksheet for 3rd Grade

Looking for a fun and educational way to reinforce number patterns in your 3rd grade classroom? Look no further! Our number pattern worksheet is the perfect tool to help your students strengthen their understanding of number sequencing and mathematical patterns. With clear instructions and engaging exercises, this worksheet is designed to promote active learning and critical thinking. So, let's dive in and explore the world of number patterns together!

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What is the pattern in this number sequence: 2, 4, 6, 8, 10?

The pattern in the number sequence is that each number is increasing by 2. Starting from 2, each subsequent number is obtained by adding 2 to the previous number: 2+2=4, 4+2=6, 6+2=8, and 8+2=10.

The number pattern starts with 5, and each subsequent number increases by 3. What is the 7th number in the sequence?

The seventh number in the sequence where each number increases by 3 starting from 5 is 5 + (6 * 3) = 5 + 18 = 23. So, the seventh number in the sequence is 23.

In this pattern, each number is double the previous number. What is the 5th number in the sequence if it starts with 1?

The 5th number in the sequence would be 16, as each number is double the previous one (1, 2, 4, 8, 16).

The pattern starts with 10 and subtracts 2 each time. What is the 10th number in the sequence?

To find the 10th number in the sequence that starts with 10 and subtracts 2 each time, we can use the formula for an arithmetic sequence: a_n = a_1 + (n-1)d, where a_1 is the first term (10), n is the term we want to find (10th term), and d is the common difference (-2). Plugging in the values, we get a_10 = 10 + (10-1)(-2) = 10 + 9(-2) = 10 - 18 = -8. Therefore, the 10th number in the sequence is -8.

What is the pattern in this number sequence: 3, 6, 9, 12, 15?

The pattern in the number sequence is an increase of 3 between each number. Starting with 3, each subsequent number is obtained by adding 3 to the previous number, resulting in the sequence 3, 6, 9, 12, 15.

In this pattern, the numbers increase by 10 each time. What is the 8th number in the sequence if it starts with 30?

To find the 8th number in the sequence where the numbers increase by 10 each time starting with 30, you would add 10 to 30 seven times (for the first seven numbers) which equals 100. So, the 8th number would be 100.

The pattern starts with 2 and multiplies by 3 each time. What is the 6th number in the sequence?

To find the 6th number in the sequence that starts with 2 and multiplies by 3 each time, you can use the formula for geometric sequences which is \( a_n = a_1 \times r^{(n-1)} \), where \( a_n \) is the term you want to find, \( a_1 \) is the first term of the sequence (which is 2 in this case), \( r \) is the common ratio (which is 3 in this case), and \( n \) is the position of the term you want to find (which is 6 in this case). Plugging in the values, \( a_6 = 2 \times 3^{(6-1)} = 2 \times 3^5 = 2 \times 243 = 486 \). Therefore, the 6th number in the sequence is 486.

What is the pattern in this number sequence: 1, 4, 9, 16, 25?

The pattern in the number sequence is that each number is a perfect square: 1^2=1, 2^2=4, 3^2=9, 4^2=16, and 5^2=25.

In this pattern, each number is the sum of the two previous numbers. What is the 7th number in the sequence if it starts with 0 and 1?

The 7th number in the sequence starting with 0 and 1 in the pattern where each number is the sum of the two previous numbers would be 8.

The pattern starts with 100 and divides by 5 each time. What is the 9th number in the sequence?

The 9th number in the sequence that starts with 100 and divides by 5 each time is 100 / (5^8), which is equal to 0.064.