7. What comes next in the
sequence: 1, 3, 11, 43,
?
Answers
Answer:
Originally Answered: What comes next in the sequence: 1, 3, 11, 43, ___? 5. it's 5.
pls mark me as brainliest and pls do rate me...
171 is the next number in the series.
sequence: 1, 3, 11, 43, 171
Step-by-step explanation:
Given:
sequence: 1, 3, 11, 43,.
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,x₆) are the numbers in the series thus x₁, (x₁×4)-1⇒x₂, (x₂×4)-1⇒x₃, (x₃×4)-1⇒x₄, (x₄×4)-1⇒x₅.
x₁=1
The first number is multiplied by 4 and subtracted by 1. Thus we get a 3, second number.
1 ⇒3
⇒(1×4)-1
⇒(4-1)
x₂⇒3
The second number 3 is multiplied by 4 and subtracted from 1. Thus we get 11, the third number.
3⇒11
⇒(3×4)-1
⇒12-1
x₃ ⇒11
The third number 11 is multiplied by 4 and subtracted from 1. Thus we get 43, the fourth number.
11⇒43
⇒(11×4)-1
⇒(44-1)
x₄ ⇒43
The fourth number 43 is multiplied by 4 and subtracted from 1. Thus, we get 171, the fifth number.
43⇒?
⇒(43×4)-1
⇒172-1
x₅ ⇒171
The next number in the series is 171.
Hence,
The next number in the series is 171.
sequence: 1, 3, 11, 43, 171