Question

(4) Prove that the arithmetic sequence with first term1/6 and common
difference1/3 contains all odd numbers, but no even number,​

Answer 1

Given :- First term 1/3 and Common Difference 2/3 .

To find :- Prove that the arithmetic sequence with first term 1/3 and common difference 2/3 contains all odd numbers but no even number.  

Solution :-  

• Now we have given first term as 1/3 and common difference ad 2/3.  
• Now Arithmetic Progression is :-

                  a, a + d, a + 2d, a + 3d .........  

• Here a = 1/3 and d = 2/3.  
• So putting the values, we get :-

                  1/3, 1/3 + 2/3, 1/3 + 2(2/3), 1/3 + 3(2/3), ........  

                  1/3, 1, 5/3, 7/3, ..........  

• So this is the arithmetic progression formed where no even number is found.  

Answer :-

             So from solution part, we proved that the arithmetic sequence with first term 1/3 and common difference 2/3 contains all odd numbers.  

Thanks me

Mark me as brainliest :-)

Rate my answers ;)

#BrainlyPrince727