Complete the sequence: 1.-1,2,-3,4,-7,6,-11,8,-15,14
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Answer:
-1,2,-3,4,-5,6,-7,8,-11,14,-15
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1
The next number is - 17.
Step-by-step explanation:
The given sequence are:
1, - 1, 2, - 3, 4, - 7, 6, - 11, 8, - 15, 14
To find, the next number = ?
The pattern follow:
Alternate add and subtract consecutive prime number.
- 1 = 1 - 2 = - 1, 2 = - 1 + 3 = 2,
- 3 = 2 - 5 = - 3, 4 = - 3 + 7 = 4,
- 7 = 4 - 11= - 7, 6 = - 7 + 13 = 6,
- 11 = 6 - 17 = - 11, 8 = - 11 + 19 = 8,
- 15 = 8 - 23 = - 15, 14 = - 15 + 29 = 14
Similarly,
? = 14 - 31 = - 17
Hence, the next number is - 17.
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