Question

Find the missing terms of the arithmetic sequence

4______ 22

25______,53_______

Answer 1

@ganeshie8

Answer 2

Hmm, lets call the missing term x, the difference between a number and the previous one is always the same in an arithmetic sequence.

4,x,22

so x-4 should be the same as 22-x

do you follow?

Answer 3

ehhh not really but some how i got 18

Answer 4

Thats not right =p

say you have the arithmetic sequence

2,4,6,8

8-6=2
6-4=2
4-2=2

so the difference is always the same

so in 4,x,22

22-x is the same as x-4

therefore

22-x=x-4

solve for x

Answer 5

whaai don't get it lol it just more confusing

Answer 6

how do you solve for x

Answer 7

Basic algebra

add x to both sides

22=2x-4

add 4 to both sides

26=2x

divide both sides by 2

13=x

Answer 8

so 13 would be the answer for the first one and how did you get 2x

Answer 9

i added x to both sides of the equation

x+x is 2x

Answer 10

ok so is that the answer and do i do the same for the next question

Answer 11

yes 13 is the answer

same idea for the second one, can you try?

Answer 12

ok and i was gonna try but then its more than two numbers, what now? :O

Answer 13

just worry about the first blank for now.

pretend its 25,x,53

Answer 14

i got -39 , this is what i did am not sure but 25=2x-53 then divide -78 over 2 which is how i get -39

Answer 15

you do

53-x=x-25

Answer 16

omg can you help me with that..?

Answer 17

Add x to both sides first

Answer 18

yea and i got 53=2x-25

Answer 19

thats right, now add 25 to both sides

Answer 20

i did and overall i got 39

Answer 21

Thats right, thats the first blank

Answer 22

yayy ok, so how is the next one done?

Answer 23

For that one you can just use the difference, you now have

25,39,53

14 is being added each time, 53+14=?

Answer 24

which would be 67

Answer 25

Right =D

Answer 26

yayy thank you..