Please help me, I don’t understand how they got this answer?

The question says use pattern recognition and inductive reasoning to develop a probable general term. Write the sequence using this nth term.

2, 4/3, 6/5, 8/7

the answer was 2n over 2n-1

Please help me!

Top 2 Answers

A few days ago

emilyz

Favorite Answer

hi, i know how they did it. they used this 2, 4/3, 5/5, 8/7 in what for it looks like. in other words 2(2) / (2(2)-1) which gives u 2(2) = 4

= 4 / (4-1) = 4 / 3

and like wise 2(3) / 2(3) – 1 that gives u 2(3) = 6 and 6 / (6-1)=6/5 and like wise 2(4) = 8 = 8 / (8-1) = 8/7

for the first term 2 they used 2 (1) = 2 right = 2 / (2-1) = 2 / 1 =2 so i think what do we use interms of a formula to get 2 , 4/3, 6/5 , 8 /7 that’s what they did. in other words u plug in the numbers i mean the rest of the numbers and u will see the term which follows after 8/7 by using this formula 2n/2n-1. the next term will be 2(5)=10. so, 10 / (10 – 1) = 10 /9…….. and it follows

A few days ago

John V

Notice the numerators — they are 2, 4, 6, 8, i.e., the even integers. And the denominators — 1, 3, 5, 7, i.e., the odd integers. You would reason that these patterns would continue: next values would be 10/9, 12/11, 14/13. Now it’s a matter of expressing these as general terms. Even numbers are 2n, where n = 1, 2, 3, etc. Odd terms are 2n -1, again with n = 1, 2, 3,… since we need 1 as the first value. This implies 2n/(2n-1)

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Please help me, I don’t understand how they got this answer?

Please help me, I don’t understand how they got this answer?

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