Question

Solve the equation -4+(-1) +2+-------+x=437

Answer 1

440 andThis the answer .

Answer 2

Answer:

Step-by-step explanation:

Given the series [−4+(−1)+2+⋅⋅⋅⋅x=437] in A.P.

Then,

a=−4

d=−1−(−4)=3

Sn =437

Then, using sum formula A.P.

Sn = n/2[2a+(n−1)d]

⇒437= n/2 [2(−4)+(n−1)3]

⇒874=n[−8+3n−3]

⇒874=3n^2−11n

⇒3n^2 −11n=874

⇒3n^2 −11n−874=0

⇒3n^2−(57−46)n−874=0

⇒3n^2 −57n−46n−874=0

⇒3n(n−19)−46(n−19)=0

⇒(n−19)(3n−19)=0

⇒n−19=0,3n−19=0

⇒n=19. ,n=19/3

​Hence, n=19

So,

x=a+(n−1)d

x=−4+(19−1)3

x=−4+54

x=50

Hence, this is the answer.