IDNStudy.com, kung saan ang iyong mga tanong ay natutugunan ng mabilis na sagot. Makakuha ng mga kumpletong sagot sa lahat ng iyong mga tanong mula sa aming network ng mga eksperto.

what should be the value of x so that x+2,3x-2, 7x-12, will form an arithmetic sequence, justify your answer?

Sagot :

x should be 3
3+2=5
3(3)-2=7
7(3)-12=9
5,7,9 form an arithmetic sequence because it has a common difference which is 2
We should have a common difference for these to be terms of an arithmetic sequence so:

7x - 12 - 3x + 2 = 3x - 2 - x - 2
4x - 10 = 2x - 4
2x = 6
x = 3

When we plug this value the terms would be 5, 7, and 9 which have a common difference of 2.