Answer:
90
Step-by-step explanation:
Answer:
We have to use the mathematical induction to prove the statement is true for all positive integers n.
The integer is divisible by 3 for every positive integer n.
is divisible by 3.
Hence, the statement holds true for n=1.
- Let us assume that the statement holds true for n=k.
i.e. is divisible by 3.---------(2)
- Now we will prove that the statement is true for n=k+1.
i.e. is divisible by 3.
We know that:
and
Hence,
As we know that:
was divisible as by using the second statement.
Also:
is divisible by 3.
Hence, the addition:
is divisible by 3.
Hence, the statement holds true for n=k+1.
Hence by the mathematical induction it is proved that:
The integer is divisible by 3 for every positive integer n.
<h3>
Answer: 4900 (choice D)</h3>
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Work Shown:
1 km = 1000 m
3.5 km = 3500 m ............. multiplying both sides by 3.5
(70 paces)/(50 m) = (x paces)/(3500 m)
70/50 = x/3500
7/5 = x/3500
7*3500 = 5x .............. cross multiply
5x = 7*3500
x = (7*3500)/5
x = (7*5*700)/5
x = 7*700
x = 4900
Ann takes 4900 paces to walk 3.5 km