Math, asked by sheri111, 6 months ago

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​

Answers

Answered by SoumyaMishra247
1

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

Similar questions