# An arithmetic has 3 as it first term also the sum of the first 8 term is twice the sum of the 5 term. Find the common different?

##### 1 Answer

Mar 6, 2017

#### Explanation:

We must write an equation using the formula

We know that

#8/2(2(3) + (8 - 1)d) = 2(5/2(2(3) + (5- 1)d))#

#4(6 + 7d) = 5(6 + 4d)#

#24 + 28d = 30 + 20d#

#24 - 30 = 20d - 28d#

#-6 = -8d#

#d = 3/4#

If you recheck using the formula

Hopefully this helps!