IDNLearn.com: Your reliable source for finding precise answers. Get step-by-step guidance for all your technical questions from our dedicated community members.

for what value of c will 2c-7, 5c-9 and 7c+2 be consecutive terms of an arithmetic sequence

Sagot :

[tex]2c-7;\ 5c-9;\ 7c+2-the\ arithmetic\ sequence\ then\\\\(2c-7)+(7c+2)=2\cdot(5c-9)\\\\2c-7+7c+2=10c-18\\\\9c-5=10c-18\ \ \ /+5\ \ /-10c\\\\9c-10c=-18+5\\\\-c=-13\to c=13-answer[/tex]



[tex]a_1;\ a_2;\ a_3-the\ arithmetic\ sequence\\\\a_2=a_1+r\\\\a_3=a_2+r=a_1+r+r=a_1+2r\\\\a_1+a_3=a_1+a_1+2r=2a_1+2r=2(a_1+r)=2a_2\\\\\underline{a_1+a_3=2a_2}[/tex]


We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your search for answers ends at IDNLearn.com. Thanks for visiting, and we look forward to helping you again soon.