For what value of k will K + 9, took a -1 and took a + 7 are the consecutive terms of an ap

For what value of k will K + 9, took a -1 and took a + 7 are the conse

1.	For what value of k will K + 9, took a -1 and took a + 7 are the consecutive terms of an ap
Answer» We know that difference between any two consecutive terms of an AP\xa0is equal{tex}\\therefore{a_2} - {a_1} = {a_3} - {a_2}{/tex}let\xa0{tex}a_1=(k+9), a_2=(2k-1), a_3=(2k+7){/tex}{tex} \\Rightarrow (2k - 1) - (k + 9) = (2k + 7) - (2k - 1){/tex}{tex} \\Rightarrow k - 10 = 8{/tex}{tex} \\Rightarrow k = 18{/tex}