in the arithmetic sequence got by adding1/4to itself repeatedly. does the number 10 occur anywhere ?what about 11?please give answer i will follow you and add the brain list
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Answer:
Yes, both 10 and 11, and in fact all whole numbers occur after every 3 fractional numbers as follows.
Step-by-step explanation:
In the arithmetic sequence of adding 1/4 to itself repeatedly, I. e. , 1/4, 2/4, 3/4, 4/4, ......
10 = 1/4 + (n-1) × 1/4
10 = 1/4 (1+n-1)
10 = 1/4 × n
n = 10 × 4 = 40. So, 10 occurs at the 40th place
Similarly, 11 occurs at the 11×4 = 44th place
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