Answered

IDNLearn.com connects you with a global community of knowledgeable individuals. Ask anything and receive immediate, well-informed answers from our dedicated community of experts.

The terms x,0.5x + 7, and 3x - 1 are consecutive terms of an arithmetic sequence. How do i determine the value of x and state the three terms

Sagot :

Ollieboyneidn
So you know that for arithmetic sequences, the difference between each term is the same. So we can use this to form an equation:

Difference between term 2 and 1 = Difference between term 3 and 2

[tex](0.5x+7)-x = (3x-1)-(0.5x+7) \\-0.5x+7=2.5x-8 \\15=3x \\x=5[/tex]

So the three values are:

5, 0.5(5)+7, 3(5)-1

= 5, 9.5, 14

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com provides the best answers to your questions. Thank you for visiting, and come back soon for more helpful information.