Find a pattern in the sequence. Use the pattern to show the next two terms.1, 3, 7, 15, 31, ___ , ___
Question
Find a pattern in the sequence. Use the pattern to show the next two terms.1, 3, 7, 15, 31, ___ , ___
Solution
The pattern in this sequence is that each term is one less than a power of 2.
1 is 2^0, 3 is 2^2 - 1, 7 is 2^3 - 1, 15 is 2^4 - 1, 31 is 2^5 - 1.
Following this pattern, the next term would be 2^6 - 1, which is 63. The term after that would be 2^7 - 1, which is 127.
So, the next two terms in the sequence are 63 and 127.
Similar Questions
using the nth term formula, find the pattern in the sequence 1, 5, 12, 22, 35
Now, find a pattern in a different format. Select the next number in the sequence:Fill in the blank: 9, 13, 17, 21, 25, 29, _____
The pattern 5, 11, 21, 35, … is given by the rule tn = 2n2 + 3.Show that the difference between consecutive terms, starting at the nth, is 4n + 2
Write down the first three terms of this sequence. (2)First term is 5. Term-to-term rule is multiply by 3 then subtract 8. First term is __________ Second term is __________ Third term is __________5, 7, 134, 7, 81,9, 1413, 7, 5
Find the next term in the given series below :1,1,1,3,4,8,5,9,27,7,16,__
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