SOLUTION: 8(2) + 2, 8(23) + 3, 8(234) + 4, 8(2345) + 5, ?, ?, ? Simplify the expression and write down the next three numbers in the sequence. Describe the pattern.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: 8(2) + 2, 8(23) + 3, 8(234) + 4, 8(2345) + 5, ?, ?, ? Simplify the expression and write down the next three numbers in the sequence. Describe the pattern.      Log On


   

Question 51175This question is from textbook Passport
: 8(2) + 2, 8(23) + 3, 8(234) + 4, 8(2345) + 5, ?, ?, ?
Simplify the expression and write down the next three numbers in the sequence. Describe the pattern. This question is from textbook Passport

Answer by rchill(405) About Me  (Show Source):
You can put this solution on YOUR website!
If you look at the first equation and compare it to the second to see what the difference is, you'll see that the number 3 was appended to the '2' in '8(2)', and '+3' replaced the '+2' (first eqn.: 8(2)+2). Similarly, from equation 2 to equation 3, the next number in the sequence after 2,3 would be 4. So, 4 gets appended to '23' in '8(23)' and 4 replaces the '+3', becoming 8(234)+4. Exactly the same process happens in the fourth equation. Therefore, following the same process yields 8(23456)+6 for the next equation, followed by 8(234567)+7 and 8(2345678)+8.