complete series of 7,11,27,91,347
Answers
Solution :-
Logic :- Difference between given terms is in the form of 4^n , where n are consecutive natural numbers .
Explanation :-
7, 11, 27, 91, 347, ?
→ 11 - 7 = 4 = 4¹
→ 27 - 11 = 16 = 4²
→ 91 - 27 = 64 = 4³
→ 347 - 91 = 256 = 4⁴
therefore, we can conclude that, difference between next term and 347 will be 4⁵ = 1024
→ 347 + 1024 = 1371 .
Hence, the next term in the series will be 1371 .
Learn more :-
423:24::534:60::752:70::245:?
brainly.in/question/23686232
Use inductive reasoning to determine the next two terms in the sequence:
A , 6 , D , 16 , H , 46 , M , 136
brainly.in/question/23562817
COMPLETE THE SERIES
Given series:
7, 11, 27, 91, 347, _____
To Find:
The next number in the series.
Solution:
Let us name the given terms in the series as A1, A2, A3 and so on.
In order to find the next no. in the given series, we need to observe the series very carefully. After observing, we will notice the following pattern:
- A2 - A1 = 4
- A3 - A2 = 4*4 = 16
- A4 - A3 = 4*4*4 = 64
- A5 - A4 = 4*4*4*4 = 256
So the next number should be a number such that after subtracting 347 from it, we get 4*4*4*4*4 = 1024. For finding such a number, we will simply add 1024 to 347.
- 347 + 1024 = 1371
Hence, the next number in the series is 1371.
Final Answer:
The final series will look like 7, 11, 27, 91, 347, 1371.