Question

Which two numbers should be placed in the blanks below so that the difference between consecutive numbers is the same?

Answer 1

Answer:

Hey!

Your answer lies below!

Step-by-step explanation:

FORMULAS: n t h   term is found by  a n = a 1 + ( n − 1 ) d

                     The sum of terms is found by  S n = ( a 1 + a n ) n /  2

soo…

a 1 = 19 *our first term...*

a 4 = 55 *our fourth term...*  

Using the formula: a 4 = a 1 + 3 d

 

We manage to calculate the actual difference of:  

d = a 4 − a 1 /  3

=

55 − 19 /  3 (division)   = 12

d=a4−a13=55−193 =12

Which now results in the that our remaining two terms are:

a 2 = a 1 + d = 19 + 12 = 31

a3  = a 1 + 2 d = 19 + 12 ⋅ 2 = 43

HOPE THIS HELPS!!

Answer 2

31 & 43! the difference in between each number is 12