2,4,7,35,42,462 what is the next in the sequence
Answers
475 is the answer for the given sequence.
given:
2,4,7,35,42,462
To find:
Next Sequence
Solution:
2*2 =4
4+3 =7
7*5=35
35+7=42
42*11=462
462 +13 =475
475 is the answer for the given sequence.
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The number next in the sequence is 475
Given,
2,4,7,35,42,462,x
To find,
The number next in the sequence
Solution,
Let's say 'x' is the number next in the sequence
and the given number series is,
2,4,7,35,42,462,x
Firstly, find the relation between the first two numbers.
The relation can be found by using any operation like addition, subtraction, multiplication, division, etc.
So, here the relation between the first two numbers i.e., 2 and 4 is, 2 *2 =4
the relation between the 2nd and 3rd terms i.e., 4 and 7 is 4 + 3 = 7
the relation between the 3rd and 4thd terms i.e., 7 and 35 is 7 * 5 = 35.
Here, it is clear that the operation of multiplication and addition of prime numbers (2,3,5,7,11) is taking place alternatively.
So, the operations between the sequence will be this way,
2*2 =4
4+3 =7
7*5=35
35+7=42
42*11=462
462 +13 =475
Hence, The number next in the sequence is 475
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