A flower bed is 2 meters wide and 5 meters long. What is the area of the flower bed in square feet? Round intermediate calculati
1 answer:
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Answer:
(A)d=20h
Step-by-step explanation:
If Kia rides her bike at 20 miles per hour.
20 miles per hour is referred to as the Kia's Speed.
Now we know that:
Given:
- Number of hours traveled=h
- Distance traveled=d
- Speed = 20 mph
Substituting these three into the formula above, we have:
Cross multiply
d=20h
<u>The correct option is A.</u>
Consider the lengths of consecutive 1-2 blocks.
block 1 - 1, 2 - length 2
block 2 - 1, 2, 2 - length 3
block 3 - 1, 2, 2, 2 - length 4
block 4 - 1, 2, 2, 2, 2 - length 5
and so on.
Recall the formula for the sum of consecutive positive integers,
Now,
which means that the 1234th term in the sequence occurs somewhere about 1/5 of the way through the 49th 1-2 block.
In the first 48 blocks, the sequence contains 48 copies of 1 and 1 + 2 + 3 + ... + 47 copies of 2, hence they make up a total of
numbers, and their sum is
This leaves us with the contribution of the first 10 terms in the 49th block, which consist of one 1 and nine 2s with a sum of .
So, the sum of the first 1234 terms in the sequence is 2419.