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HACTEHA [7]
3 years ago
8

The first term of a sequence is 1 and every term after the first one is 1 more than the square of the preceding term. What is th

e fifth term?
Mathematics
1 answer:
Readme [11.4K]3 years ago
6 0

Answer:

677

Step-by-step explanation:

the sequence is 1, 2, 5, 26, 677

the first term is 1

to find the 2nd term, do: 1^{2} +1=2

3rd: 2^{2} +1=4+1=5

4th: 5^{2} +1 =25 +1=26

5th: 26^{2} +1=676+1=677

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A right triangle has legs of lengths 9 cm and 12 cm. calculate the length of the hypotenuse?
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Your first instinct might tell you to use the Pythagorean theorem to go about solving this because c= \sqrt{a^{2}+b^{2}}. This works, but it is slow.

The fastest way to solve this is to recognize that the right triangle is a special triangle where the ratio of the sides are 3:4:5. This means that if the legs are 9 and 12, then the hypotenuse is 15 because 3*3 is 9, 3*4 is 12, and 3*5 is 15.
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3 years ago
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