Answered

Makakuha ng mabilis at malinaw na mga sagot sa IDNStudy.com. Magtanong at makatanggap ng eksaktong sagot mula sa aming mga bihasang miyembro ng komunidad.

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.