prove that the arithemetic sequence with first term1/3and common difference 2/3 contains all odd numbers, but no even number
Answers
Answer:
I do not know
Step-by-step explanation:
bywkkwwkwllwalskskkdkddkodd
Answer:
Here's your answer
Step-by-step explanation:
Given: First term 1/3 and Common Difference 2/3
To Proof: 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.
Hope you understand.