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Earn +20 ptsQ: What is the rule to the pattern 1 3 7 15 31?
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What is the rule for the number pattern 1 6 16 31?
The rule is 5, 10, 15 and so the next number will be 20+31 = 51
What pattern is 3 7 15 31?
You double the number before it and add 1.
What is the rule for this pattern 1-3-2-6-5-15-14-42-41?
multiplication pattern
What is the rule for this pattern 2 6 15 31 56 92?
The pattern at each stage is the addition of a square number of increasing value to the previous term. 1 + 12 = 2 2 + 22 = 6 6 + 32 = 15 15 + 42 = 31 31 + 52 = 56 56 + 62 = 92 The formula for the nth term is, a(n) = n3/3 + n2/2 + n/6 + 1 or it can be written a(n) = 1/6(2n3 + 3n2 + n + 6) So the 7th term = 1/6(686 + 147 + 7 + 6) = 1/6 x 846 = 141 ( = 92 + 72) NOTE : The rule is the same as the sum of the squared numbers plus one. So another way of presenting the formula is, a(n) = 1/6[n(n + 1)(2n + 1)] + 1
What three numbers can add up to 31?
15+15+1=31
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