1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4...... In the above sequence what is the number of the position 2888 of the sequence.
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Answered by
5
Answer:
1
Step-by-step explanation:
1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4...... In the above sequence what is the number of the position 2888 of the sequence.
1st Sequence = 1 + 2 + 3 + 4 = 10 Digits
2nd Sequence = 2 + 4 + 6 + 8 = 20 Digits
3rd Sequence = 3 + 6 + 9 + 12 = 30 Digits
10 + 20 + 30 +......................................
a = 10 d = 10
Sum of n Sequences ≥ 2888
(n/2)(10 + (n-1)10) ≥ 2888
=>5n² ≥ 2888
=> n > 24
For n = 24
Sum of Sequences = (24/2)(10 + 23*10) = 2880
2888 - 2880 = 8
For n = 25
1 will be 25 times from 2881 to 3006
=> number position of 2888 is 1
Answered by
3
Answer:
1
Step-by-step explanation:
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