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Arithmetic
Consider the sequence of numbers 0,2,2,4,…where for n>2 the nth term of the sequence is the units digit of the sum of the previous two terms. let Sn denote the sum of the first n terms of the sequence . What is the smallest value of n for which Sn > 2771 ?
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- 0 2 2 4 6 0 6 6 2 8 0 8 8 6 4 0 4 4 8 2 .0 2 2...this series will be repeated after every 20 terms
sum of 20 terms of series=80
2771/80 quotient=34 remainder=51
sum of 13 terms =52
number of terms is 693 since 34*20=680
680+13 =693
sum of 693 terms will be > 2771
- 9 years agoHelpfull: Yes(20) No(1)
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