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find a pattern math problems for 6 grade

Question:Hello. Can someone help me with this math problem? --Determine an expression for the nth term in each table: x y 1 -1 2 6 3 13 4 ? ? 55 So what kind of equation would I use given this data?

Answers:the y column is going up by 7 each time this means the first part of the equation is Y=7X however 7 x 1 is 8 more than -1 therefore the equation is Y = 7X-8 this fits with the data -1=7-8 6=14-8 13=21-8 if X is 4 then ((4x7)-8) the Y is 20 if Y is 55 then (55+8/7) the X is 9 Y = 7X-8

Question:I've been stuck on these question and can't figure out the patterns. 1, 4, 9, 16 What's the pattern there. and 1 + 3 1 + 3 + 5 1 + 3 + 5 + 7 predict the sum of the first ten odd numbers for the second one.

Answers:The first one is squares of numbers (a number times itself) 1 x 1 = 1 2 x 2 = 4 3 x 3 = 9 4 x 4 = 16 The same pattern is followed in the second question. 1 + 3 is two numbers. The sum of these first two odd numbers is 4, which is 2 x 2. Next you have the sum of the first three odd numbers, which comes to 9, which is 3 x 3. Then the sum of the first four odd numbers is 16, which is 4 x 4. So the prediction for the sum of the first ten odd numbers would be to multiply however many numbers you have (ten, in this case) by itself. So, 10 x 10 = 100 is the predicted sum. 100.

Question:IT SAYS FIND THE NEXT TWO NUMBERS IN THE SEQUENCE? 31,27,23,19 __ __ HOW DO I FIGURE THIS OUT?! 108,36, 12, 4 1.2, 2.4, 3.6, 4.8 __, __ 63, 56, 49, 42, __, __ 4, 12, 36, 108, __, __ 6, 11, 16, 21, __, __ 27, 22.5, 18, 13.5, __, __ 1, 5, 25, 125,__,__ 54, 48, 42, 36,__,__ 1.7, 3.4, 5.1, 6.8,__, __ 1 3/4, 3 1/2, 5 1/4, 7,__, __ 91, 78, 65, 52, __, __ 0.4, 0.8, 1.2, 1.6, __, __ 30, 26, 22, 18, __, __ 0.004, 0.04, 0.4, 4, __, __ I JUST DONT GET IT? ANSWER THE PROBLEMS FOR 13 POINTS. TELL ME HOW TO DO IT FOR 2-3 POINTS.

Answers:figure out the pattern 31, 27, 23, 19, 15, 11--subtract 4 each time 108, 36, 12, 4, 4/3, 4/9--divide 3 each time 1.2, 2.4, 3.6, 4.8, 5.10, 6.12--it goes in numerical order then decimal followed by its double 63, 56, 49, 42, 35, 28--subtract 7 4, 12, 36, 108, 324, 972--multiply by 3 6, 11, 16, 21, 26, 31--add 5 27, 22.5, 18, 13.5, 9, 4.5--subtract 4.5 1, 5, 25, 125, 625, 3125--multiply by 5 54, 48, 42, 36, 30, 24--subtract 6 1.7, 3.4, 5.1, 6.8, 8.5, 10.2--add 1.7 1 3/4, 3 1/2, 5 1/4, 7, 8 3/4, 10 1/2-- add 1 3/4 91, 78, 65, 52, 39, 26--subtract 13 0.4, 0.8, 1.2, 1.6, 2.0, 2.4--add .4 30, 26, 22, 18, 14, 10--subtract 4 0.004, 0.04, 0.4, 4, 40, 400--move the decimal to the left one

Question:My 3rd grade son has a Math problem we can't seem to figure out the answer to. (Yes, I know this is sad haha). He has to find the pattern that will get him from 1,073 to 1,104 in eight numbers: ? - 1,073 - ? - ? - ? - ? - ? - ? - ? - ? - 1,104 Help?

Answers:Well, if it's simply a linear pattern involving adding the same number to each previous term to get the next term: 1. Determine the range between the two given values 1,104 - 1,073 = 31 2. Divide that range by the number of terms (8) 31 / 8 = 3.875 3. Finally, add 3.875 to each previous term in the pattern to get the next term 1,073 , 1,076.875 , 1,080.75 , 1,084.625 , 1,088.5 , 1,092.375 , 1,096.25 , 1,100.125 , 1,104