17,19,22,27,34,45,? Tell the logic and answer
Answers
Step-by-step explanation:
What is the missing number ("?") in this sequence: 17, 19, 22, 16, ?, 13, 32?
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T(1)=17 T(2)=19
T(3)=22 T(4)=16
T(5)=? T(6)=13
T(7)=32
Here, the given sequence forms two series one with even terms and other with odd terms.
T(4)-T(2)=-3
T(6)-T(4)=-3
When the terms are odd the series is T(n)-T(n-2)=-3 n is even
T(3)-T(1)=5
T(5)-T(3)=X-22
T(7)-T(5)=32-X
Let us assume that in the odd terms series nth term differ from (n-2)th term by 5 units.
If T(5)-T(3)=5 --> X-22=5 --> X=22+5 --> X=27
Our assumption is true if T(7)-T(5)=5 when X=27
T(7)-T(5)=32-X =32-27 =5
Since the difference is satisfied by putting X=27
So,our assumption is true.
Therefore, T(5)=27
"?" will be replaced by 27
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Answer:
The logic is 17 + 2 = 19
19 + 3=22
22+5=27
27+7=34
34+11= 45
2,3,5,7 and 11 are prime numbers
The next prime number is 13
45+13 = 58
58 Is The Answer
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