dougb said:these pattener are cofusing please help i coml=pleted the first one
10,17,26,37,50,65
1,3/2, ____, 7/8, 9/16
243, 324, 403, _____, 567
234;________; 23,481; 234,819; 2,348,200.
The pattern is an arithmetic sequence with a common difference of 7. Each number is obtained by adding 7 to the previous number.
The formula is:
nn+1 = nn + 7
Where nn+1 is the next number in the sequence and nn is the current number.
The 10th number in the sequence is 100. To find this, we can use the formula nn = a + (n-1)d, where a is the first term (10), n is the term number (10) and d is the common difference (7).
n10 = 10 + (10-1)7 = 10 + 9(7) = 10 + 63 = 73
Yes, the pattern can be extended to negative numbers. The formula to calculate the next number in the sequence remains the same. For example, the sequence can be extended as -3, 4, 13, 24, 37, 52...
This pattern can be applied in various real-life situations such as calculating interest rates, predicting population growth, or determining the distance covered by a moving object at regular intervals of time.