how many natural numbers lie between the squares of 89 and 100?
Answers
Answered by
2
Answer:
2079 natural numbers.
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Answered by
6
Answer:
see the answer
Step-by-step explanation:
89^2= 7,921
100^2=10,000
Let,
a=7,921 (first term)
Since adjacent natural numbers differ by 1, they are in A.P.
So, d= common difference= 1
t=10000 (last term)
And n= no. of terms between 7,821 and 10,000
B/Q
t= a+(n-1)d [using nth term of an A.P.]
=>10000= 7921+ 1* (n-1)
=>2079= n-1
=>2080= n
Hence the required no. of natural no's. between the square of 89 and 100, I.e. 7921 and 10000 is 2080.
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