Question

242
Make a Sequence
What are the next two terms of the sequence?
1,1,5, 17, 61, 217 ........​

Answer 1

Step-by-step explanation:

To solve these you need to find a pattern that satisfies all numbers you already have. One that works here is:

the 3rd term is the sum of twice the first term and 3 times the second

the 4th term is the sum of twice the 2nd and 3 times the 3rd

the 5th term is the sum of twice the 3rd and 3 times the 4th

the 6th term is the sum of twice the 4th and 3 times the 5th

so the 7th should be the sum of twice the 5th and 3 times the 6th

or 61*2+217*3= 773

You should now be able check that the next one is 2753

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