5 spaces; sum of 4 = 46; sum of 5= 70. solve the sequence

Question

5 blank spaces.  sum of first 4 numbers = 46; sum of 5 numbers = 70.  Need to solve the sequense for the first 3 spaces.  Answer must go up by fixed number.

Answer 1

????????? spaeses ?????????

??????? yu tri tu sae yu hav a SEQUENS av integers,

such as 1, 2, 3, 4... ????????

sum av 4=46

sum av 5=70, thus term 5=70-46.......LAST TERM=24

sum=averaej*(num numbers)......   AVERAEJ=70/5=14

averaej=(term 1 + last term)/2...

so term 1=(2* averaej) -(last term)=2*14 -24   =28-24  

TERM1 =4

last term=first term +(step size)*(num terms  -1)

step size=(last term - term1) /4 =20/4....5

sequens....4, 9, 14, 19, 24, 29, 34, ...