1722, 995, 508, 213, ______
Answers
Answer:
The logic is. " Decreasing even number- decreasing natural numbers"
so the answer is 62
62 is the next number in the series
1722, 995, 508, 213, 62
Step-by-step explanation:
Given:
1722, 995, 508, 213,.
To find:
The next number in the series.
Solution:
- This series is a numerical sequence in which the numbers are arranged orderly and make a sequence.
- The pattern is (x₁,x₂,x₃,x₄,x₅) are the numbers in the series thus (12³-6)⇒x₁, (10³-5)⇒x₂, (8³-4)⇒x₃, (6³-3)⇒x₄, (4³-2)⇒x₅.
- The sequence thus arranged as a cubic form of even numbers (12³,10³,8³,6³,4³) gets subtracted with (6,5,4,3,2) consecutively. Thus we get the series.
The first number x₁ is obtained by 12³ and subtracted by 6. Thus we get 1722, the first number.
1722⇒(12³-6)
⇒1728-6
x₁ ⇒1722
The second number x₂ is obtained by 10³ gets subtracted with 5. Thus we get 995, the second number.
995⇒10³-5
⇒1000-5
x₂ ⇒995
The third number x₃ is obtained by 8³ gets subtracted with 4. Thus we get 508, the third number.
508 ⇒8³-4
⇒512-4
x₃⇒508
The fourth number x₄ is obtained by 6³ gets subtracted with 3. Thus, we get 213 the fourth number.
213⇒6³-3
⇒216-3
x₄ ⇒213
The fifth number x₅ is obtained by 4³ gets subtracted with 2. Thus we get 62, the fifth number.
The next number in the series is
⇒4³-2
⇒64-2
x₅⇒62
Hence,
The next number in the series is 62.