Question

If the numbers x+3,2x+1 and x-7 are in ap find the value of x

Answer 1

Answer:

-3

Step-by-step explanation:

2x+1=(x+3+x-7)/2

x=-3

Answer 2

Answer:

$\huge\underline{ \underline{ \purple{your \: \: answer}}}$

Step-by-step explanation:

$\sf\red{AP \: SERIES} \\ \sf\pink{(x + 3), (2x + 1) \: and \: (x - 7)} \\ \sf\green{now, } \\ \sf\blue{(2x + 1) - (x + 3) = (x - 7) - (2x + 1)} \\ \sf\orange{ = > 2x + 1 - x - 3 = x - 7 - 2x + 1} \\ \sf\purple{ = > 2x - x - x + 2x = - 7 + 1 - 1+ 3} \\ \sf\pink{ = > 2x = - 4} \\\sf\pink{ = > x = \frac{ - 4}{2} } \\ \sf\pink{ = > x = - 2} \\ \large\boxed{ \fcolorbox{blue}{red}{hope \: it \: help \: you}}$

a1,a2,a3.........an be A.P with d as common difference....

then d=a2-a1=a3-a2.....an-(an-1)