Question

solve for x : 2+8+14+.....X=184

Answer 1

Answer:

X = 44

Step-by-step explanation:

2+8+14+20+26+32+38+44 = 184

Answer 2

Answer

a=2

d=8-2=6

sum=184

sum=no of terms/2{ 2a+(n-1)d }

184=n/2{4+6n-6}

368=n{4+6n-6}

368=4n+6n^2-6n

6n^2-2n-368=0

divide by 2

3n^2-n-184=0

3n^2-24n+23n-184=0

3n(n-8)+23(n-8)=0

(3n+23)(n-8)=0

3n+23=0 or n-8=0

n= -23/3 or n=8

number of terms cant be negative

n=8

tn=a+(n-1)d

x=2+42

x=44