if k-1 , k+3 , 3k-1 are in A P THEN FIND THE VALUE OF K - Maths - Arithmetic Progressions

Question

if k-1 , k+3 , 3k-1 are in A P THEN FIND THE VALUE OF K

Varun.Rawat · Accepted Answer

Let t1 = k-1; t2 = k+3; t3 = 3k-1Since, t1, t2 and t3 are in AP, then    t2 - t1 = t3 - t2⇒k+3 - k-1 = 3k-1 - k+3⇒k+3-k+1 = 3k-1-k-3⇒4 = 2k - 4⇒2k = 4 + 4⇒2k = 8⇒k = 82 = 4

if k-1 , k+3 , 3k-1 are in A.P. THEN FIND THE VALUE OF K