Answered

Sumali sa IDNStudy.com at makakuha ng mga sagot ng eksperto. Magtanong ng anumang bagay at makatanggap ng detalyadong sagot mula sa aming komunidad 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 :

Kierzeanmendoza11idn
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
Mlcparra16idn
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.