Arithmetic Sequence problem : 1. 24, __ , __ ,42. Solution = Step 1. 24 + 3d = 42. Step 2. 3d = 42 - 24. Step 3 . 3d = 18 .Step 4. d = 18/3. Step 5.d = 6. Now explain how '3d' came here?
Answers
Answer:
All the best
Mark me brainliest and flw
Step-by-step explanation:
According to Arethmetic sequence
d shows the difference between two terms
This sequence has 4 terms
and we know the value of 1st and last terms.
and we know that sequence is always start from the 1st term which is given "24"
so
4 terms - 1st terms = 3 terms
We dont know the common differnce "D value" .
Therfore we will find the value of D
4 term - 1st term = 3 terms
we need to find the common differnce
from 1st term to 2nd term
2nd to 3rd term
3rd to 4th term
= 3D
it means we need to find the D for 3 terms from 1st term to until 4th term
Well,
42 - 24 = 18 ÷ by 3 terms = 6
D = 6 is for one term
3D = 3×6 = 18 combined difference from 1st to 4th terms
Well now we know that
D= 6 for one terms
It means
This sequence is the multiples of 6 and it has total 4 terms.
24 30 36 and 42
Hope its clear
All the best
Mark me brainliest and flw