Question : Directions: Which number can replace the question mark (?) in the following series?
999, 995, 986, 970, 945, ?
Option 1: 909
Option 2: 905
Option 3: 901
Option 4: 906
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Correct Answer: 909
Solution :
Given:
999, 995, 986, 970, 945, ?
Subtract the squares of the consecutive natural numbers (starting from 2) from each term to get the next term of the series –
999 – (2)
2
= 999 – 4 = 995
995 – (3)
2
= 995 – 9 = 986
986 – (4)
2
= 986 – 16 = 970
970 – (5)
2
= 970 – 25 = 945
945 – (6)
2
= 945 – 36 = 909
So, 909 is the missing term of the series. Hence, the first option is correct.
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