Answered

Get expert advice and community support for all your questions on IDNLearn.com. Our community provides timely and precise responses to help you understand and solve any issue you face.

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 value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for choosing IDNLearn.com. We’re committed to providing accurate answers, so visit us again soon.