Question

If 2+6+10+14+18+..........+x=882 then the value of x

Answer 1

Answer:

Step-by-step explanation:

this is an arithmetic progression

a = 2

Sum of n terms = 882

d = 4

882  = n/2  ( 2a + (n-1)d)

882  = n/2  ( 2×2 + (n-1)4)

1764 = n (4 + 4n -4)

1764 = 4n²

441   = n²

n       = 21

so  x = 2 + (21-1)4

     x = 2 + 20×4

     x = 162

Answer 2

Step-by-step explanation:

82 is the answer using the formula S = n/2(a+l)