Math, asked by manjuramachandran876, 1 month ago

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

Answered by RayyanKashan
2

Answer:

All the best

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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

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